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Finding the Third Proportional to 782,726 and 1,699,294

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Solution

The third proportional to 782,726 and 1,699,294 is: 3,689,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,726 : 1,699,294 = 1,699,294 : x
  2. Step 2: Convert to fraction form
    782,726/1,699,294 = 1,699,294/x
  3. Step 3: Cross multiply
    782,726x = 1,699,294 × 1,699,294
  4. Step 4: Simplify right side
    782,726x = 2,887,600,098,436
  5. Step 5: Solve for x
    x = 2,887,600,098,436/782,726
  6. Step 6: Final answer
    x = 3,689,158.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.