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Finding the Third Proportional to 714,470 and 972,957

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Solution

The third proportional to 714,470 and 972,957 is: 1,324,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,470 : 972,957 = 972,957 : x
  2. Step 2: Convert to fraction form
    714,470/972,957 = 972,957/x
  3. Step 3: Cross multiply
    714,470x = 972,957 × 972,957
  4. Step 4: Simplify right side
    714,470x = 946,645,323,849
  5. Step 5: Solve for x
    x = 946,645,323,849/714,470
  6. Step 6: Final answer
    x = 1,324,961.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.