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Finding the Third Proportional to 714,459 and 1,527,180

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Solution

The third proportional to 714,459 and 1,527,180 is: 3,264,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,459 : 1,527,180 = 1,527,180 : x
  2. Step 2: Convert to fraction form
    714,459/1,527,180 = 1,527,180/x
  3. Step 3: Cross multiply
    714,459x = 1,527,180 × 1,527,180
  4. Step 4: Simplify right side
    714,459x = 2,332,278,752,400
  5. Step 5: Solve for x
    x = 2,332,278,752,400/714,459
  6. Step 6: Final answer
    x = 3,264,398.31

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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.