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Finding the Third Proportional to 415,735,792 and 892,882,400

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Solution

The third proportional to 415,735,792 and 892,882,400 is: 1,917,657,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,735,792 : 892,882,400 = 892,882,400 : x
  2. Step 2: Convert to fraction form
    415,735,792/892,882,400 = 892,882,400/x
  3. Step 3: Cross multiply
    415,735,792x = 892,882,400 × 892,882,400
  4. Step 4: Simplify right side
    415,735,792x = 797,238,980,229,760,000
  5. Step 5: Solve for x
    x = 797,238,980,229,760,000/415,735,792
  6. Step 6: Final answer
    x = 1,917,657,790.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.