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Finding the Third Proportional to 504,625,641 and 737,780,331

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Solution

The third proportional to 504,625,641 and 737,780,331 is: 1,078,660,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,625,641 : 737,780,331 = 737,780,331 : x
  2. Step 2: Convert to fraction form
    504,625,641/737,780,331 = 737,780,331/x
  3. Step 3: Cross multiply
    504,625,641x = 737,780,331 × 737,780,331
  4. Step 4: Simplify right side
    504,625,641x = 544,319,816,810,469,568
  5. Step 5: Solve for x
    x = 544,319,816,810,469,568/504,625,641
  6. Step 6: Final answer
    x = 1,078,660,639.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.