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Finding the Third Proportional to 714,453 and 1,541,081

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Solution

The third proportional to 714,453 and 1,541,081 is: 3,324,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,453 : 1,541,081 = 1,541,081 : x
  2. Step 2: Convert to fraction form
    714,453/1,541,081 = 1,541,081/x
  3. Step 3: Cross multiply
    714,453x = 1,541,081 × 1,541,081
  4. Step 4: Simplify right side
    714,453x = 2,374,930,648,561
  5. Step 5: Solve for x
    x = 2,374,930,648,561/714,453
  6. Step 6: Final answer
    x = 3,324,124.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.