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Finding the Third Proportional to 794,202 and 1,712,812

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Solution

The third proportional to 794,202 and 1,712,812 is: 3,693,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,202 : 1,712,812 = 1,712,812 : x
  2. Step 2: Convert to fraction form
    794,202/1,712,812 = 1,712,812/x
  3. Step 3: Cross multiply
    794,202x = 1,712,812 × 1,712,812
  4. Step 4: Simplify right side
    794,202x = 2,933,724,947,344
  5. Step 5: Solve for x
    x = 2,933,724,947,344/794,202
  6. Step 6: Final answer
    x = 3,693,927.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.