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Finding the Third Proportional to 714,468 and 1,527,190

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Solution

The third proportional to 714,468 and 1,527,190 is: 3,264,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,468 : 1,527,190 = 1,527,190 : x
  2. Step 2: Convert to fraction form
    714,468/1,527,190 = 1,527,190/x
  3. Step 3: Cross multiply
    714,468x = 1,527,190 × 1,527,190
  4. Step 4: Simplify right side
    714,468x = 2,332,309,296,100
  5. Step 5: Solve for x
    x = 2,332,309,296,100/714,468
  6. Step 6: Final answer
    x = 3,264,399.94

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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.