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Finding the Third Proportional to 769,348 and 1,781,051

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Solution

The third proportional to 769,348 and 1,781,051 is: 4,123,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,348 : 1,781,051 = 1,781,051 : x
  2. Step 2: Convert to fraction form
    769,348/1,781,051 = 1,781,051/x
  3. Step 3: Cross multiply
    769,348x = 1,781,051 × 1,781,051
  4. Step 4: Simplify right side
    769,348x = 3,172,142,664,601
  5. Step 5: Solve for x
    x = 3,172,142,664,601/769,348
  6. Step 6: Final answer
    x = 4,123,157.09

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.