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Finding the Third Proportional to 693,677,236.50 and 1,014,469,818.75

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Solution

The third proportional to 693,677,236.50 and 1,014,469,818.75 is: 1,483,613,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,677,236.50 : 1,014,469,818.75 = 1,014,469,818.75 : x
  2. Step 2: Convert to fraction form
    693,677,236.50/1,014,469,818.75 = 1,014,469,818.75/x
  3. Step 3: Cross multiply
    693,677,236.50x = 1,014,469,818.75 × 1,014,469,818.75
  4. Step 4: Simplify right side
    693,677,236.50x = 1,029,149,013,154,657,792
  5. Step 5: Solve for x
    x = 1,029,149,013,154,657,792/693,677,236.50
  6. Step 6: Final answer
    x = 1,483,613,644.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.