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Finding the Third Proportional to 902,123,746 and 1,435,471,139

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Solution

The third proportional to 902,123,746 and 1,435,471,139 is: 2,284,140,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,123,746 : 1,435,471,139 = 1,435,471,139 : x
  2. Step 2: Convert to fraction form
    902,123,746/1,435,471,139 = 1,435,471,139/x
  3. Step 3: Cross multiply
    902,123,746x = 1,435,471,139 × 1,435,471,139
  4. Step 4: Simplify right side
    902,123,746x = 2,060,577,390,901,957,376
  5. Step 5: Solve for x
    x = 2,060,577,390,901,957,376/902,123,746
  6. Step 6: Final answer
    x = 2,284,140,507.37

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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.