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Finding the Third Proportional to 631,102 and 1,358,432

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Solution

The third proportional to 631,102 and 1,358,432 is: 2,923,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,102 : 1,358,432 = 1,358,432 : x
  2. Step 2: Convert to fraction form
    631,102/1,358,432 = 1,358,432/x
  3. Step 3: Cross multiply
    631,102x = 1,358,432 × 1,358,432
  4. Step 4: Simplify right side
    631,102x = 1,845,337,498,624
  5. Step 5: Solve for x
    x = 1,845,337,498,624/631,102
  6. Step 6: Final answer
    x = 2,923,992.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.