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Finding the Third Proportional to 477,279,986 and 754,568,643

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Solution

The third proportional to 477,279,986 and 754,568,643 is: 1,192,955,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,279,986 : 754,568,643 = 754,568,643 : x
  2. Step 2: Convert to fraction form
    477,279,986/754,568,643 = 754,568,643/x
  3. Step 3: Cross multiply
    477,279,986x = 754,568,643 × 754,568,643
  4. Step 4: Simplify right side
    477,279,986x = 569,373,836,998,861,440
  5. Step 5: Solve for x
    x = 569,373,836,998,861,440/477,279,986
  6. Step 6: Final answer
    x = 1,192,955,610.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.