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Finding the Third Proportional to 698,462 and 1,034,600

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Solution

The third proportional to 698,462 and 1,034,600 is: 1,532,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,462 : 1,034,600 = 1,034,600 : x
  2. Step 2: Convert to fraction form
    698,462/1,034,600 = 1,034,600/x
  3. Step 3: Cross multiply
    698,462x = 1,034,600 × 1,034,600
  4. Step 4: Simplify right side
    698,462x = 1,070,397,160,000
  5. Step 5: Solve for x
    x = 1,070,397,160,000/698,462
  6. Step 6: Final answer
    x = 1,532,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.