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Finding the Third Proportional to 864,300 and 1,308,374

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Solution

The third proportional to 864,300 and 1,308,374 is: 1,980,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,300 : 1,308,374 = 1,308,374 : x
  2. Step 2: Convert to fraction form
    864,300/1,308,374 = 1,308,374/x
  3. Step 3: Cross multiply
    864,300x = 1,308,374 × 1,308,374
  4. Step 4: Simplify right side
    864,300x = 1,711,842,523,876
  5. Step 5: Solve for x
    x = 1,711,842,523,876/864,300
  6. Step 6: Final answer
    x = 1,980,611.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.