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Finding the Third Proportional to 902,123,748 and 1,435,471,142

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Solution

The third proportional to 902,123,748 and 1,435,471,142 is: 2,284,140,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,123,748 : 1,435,471,142 = 1,435,471,142 : x
  2. Step 2: Convert to fraction form
    902,123,748/1,435,471,142 = 1,435,471,142/x
  3. Step 3: Cross multiply
    902,123,748x = 1,435,471,142 × 1,435,471,142
  4. Step 4: Simplify right side
    902,123,748x = 2,060,577,399,514,784,256
  5. Step 5: Solve for x
    x = 2,060,577,399,514,784,256/902,123,748
  6. Step 6: Final answer
    x = 2,284,140,511.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.