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Finding the Third Proportional to 441,523,832 and 928,812,016

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Solution

The third proportional to 441,523,832 and 928,812,016 is: 1,953,896,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,523,832 : 928,812,016 = 928,812,016 : x
  2. Step 2: Convert to fraction form
    441,523,832/928,812,016 = 928,812,016/x
  3. Step 3: Cross multiply
    441,523,832x = 928,812,016 × 928,812,016
  4. Step 4: Simplify right side
    441,523,832x = 862,691,761,065,984,256
  5. Step 5: Solve for x
    x = 862,691,761,065,984,256/441,523,832
  6. Step 6: Final answer
    x = 1,953,896,253.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.