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Finding the Third Proportional to 481,146 and 747,909

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Solution

The third proportional to 481,146 and 747,909 is: 1,162,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,146 : 747,909 = 747,909 : x
  2. Step 2: Convert to fraction form
    481,146/747,909 = 747,909/x
  3. Step 3: Cross multiply
    481,146x = 747,909 × 747,909
  4. Step 4: Simplify right side
    481,146x = 559,367,872,281
  5. Step 5: Solve for x
    x = 559,367,872,281/481,146
  6. Step 6: Final answer
    x = 1,162,574.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.