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Finding the Third Proportional to 714,456 and 1,527,169.50

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Solution

The third proportional to 714,456 and 1,527,169.50 is: 3,264,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,456 : 1,527,169.50 = 1,527,169.50 : x
  2. Step 2: Convert to fraction form
    714,456/1,527,169.50 = 1,527,169.50/x
  3. Step 3: Cross multiply
    714,456x = 1,527,169.50 × 1,527,169.50
  4. Step 4: Simplify right side
    714,456x = 2,332,246,681,730.25
  5. Step 5: Solve for x
    x = 2,332,246,681,730.25/714,456
  6. Step 6: Final answer
    x = 3,264,367.13

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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.