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Finding the Third Proportional to 784,436 and 1,712,729

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Solution

The third proportional to 784,436 and 1,712,729 is: 3,739,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,436 : 1,712,729 = 1,712,729 : x
  2. Step 2: Convert to fraction form
    784,436/1,712,729 = 1,712,729/x
  3. Step 3: Cross multiply
    784,436x = 1,712,729 × 1,712,729
  4. Step 4: Simplify right side
    784,436x = 2,933,440,627,441
  5. Step 5: Solve for x
    x = 2,933,440,627,441/784,436
  6. Step 6: Final answer
    x = 3,739,553.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.