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Finding the Third Proportional to 575,914,584 and 927,412,156

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Solution

The third proportional to 575,914,584 and 927,412,156 is: 1,493,439,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,914,584 : 927,412,156 = 927,412,156 : x
  2. Step 2: Convert to fraction form
    575,914,584/927,412,156 = 927,412,156/x
  3. Step 3: Cross multiply
    575,914,584x = 927,412,156 × 927,412,156
  4. Step 4: Simplify right side
    575,914,584x = 860,093,307,096,568,320
  5. Step 5: Solve for x
    x = 860,093,307,096,568,320/575,914,584
  6. Step 6: Final answer
    x = 1,493,439,011.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.