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Finding the Third Proportional to 410,770,128 and 913,382,591

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Solution

The third proportional to 410,770,128 and 913,382,591 is: 2,030,984,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,770,128 : 913,382,591 = 913,382,591 : x
  2. Step 2: Convert to fraction form
    410,770,128/913,382,591 = 913,382,591/x
  3. Step 3: Cross multiply
    410,770,128x = 913,382,591 × 913,382,591
  4. Step 4: Simplify right side
    410,770,128x = 834,267,757,541,873,280
  5. Step 5: Solve for x
    x = 834,267,757,541,873,280/410,770,128
  6. Step 6: Final answer
    x = 2,030,984,486.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.