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Finding the Third Proportional to 714,420 and 972,918

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Solution

The third proportional to 714,420 and 972,918 is: 1,324,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,420 : 972,918 = 972,918 : x
  2. Step 2: Convert to fraction form
    714,420/972,918 = 972,918/x
  3. Step 3: Cross multiply
    714,420x = 972,918 × 972,918
  4. Step 4: Simplify right side
    714,420x = 946,569,434,724
  5. Step 5: Solve for x
    x = 946,569,434,724/714,420
  6. Step 6: Final answer
    x = 1,324,948.12

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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.