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Finding the Third Proportional to 631,746 and 1,350,324

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Solution

The third proportional to 631,746 and 1,350,324 is: 2,886,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,746 : 1,350,324 = 1,350,324 : x
  2. Step 2: Convert to fraction form
    631,746/1,350,324 = 1,350,324/x
  3. Step 3: Cross multiply
    631,746x = 1,350,324 × 1,350,324
  4. Step 4: Simplify right side
    631,746x = 1,823,374,904,976
  5. Step 5: Solve for x
    x = 1,823,374,904,976/631,746
  6. Step 6: Final answer
    x = 2,886,246.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.