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Finding the Third Proportional to 782,725 and 1,699,292

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Solution

The third proportional to 782,725 and 1,699,292 is: 3,689,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,725 : 1,699,292 = 1,699,292 : x
  2. Step 2: Convert to fraction form
    782,725/1,699,292 = 1,699,292/x
  3. Step 3: Cross multiply
    782,725x = 1,699,292 × 1,699,292
  4. Step 4: Simplify right side
    782,725x = 2,887,593,301,264
  5. Step 5: Solve for x
    x = 2,887,593,301,264/782,725
  6. Step 6: Final answer
    x = 3,689,154.30

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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.