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Finding the Third Proportional to 1,732,432 and 3,654,432

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Solution

The third proportional to 1,732,432 and 3,654,432 is: 7,708,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,432 : 3,654,432 = 3,654,432 : x
  2. Step 2: Convert to fraction form
    1,732,432/3,654,432 = 3,654,432/x
  3. Step 3: Cross multiply
    1,732,432x = 3,654,432 × 3,654,432
  4. Step 4: Simplify right side
    1,732,432x = 13,354,873,242,624
  5. Step 5: Solve for x
    x = 13,354,873,242,624/1,732,432
  6. Step 6: Final answer
    x = 7,708,743.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.