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Finding the Third Proportional to 769,346.25 and 1,781,048.25

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Solution

The third proportional to 769,346.25 and 1,781,048.25 is: 4,123,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,346.25 : 1,781,048.25 = 1,781,048.25 : x
  2. Step 2: Convert to fraction form
    769,346.25/1,781,048.25 = 1,781,048.25/x
  3. Step 3: Cross multiply
    769,346.25x = 1,781,048.25 × 1,781,048.25
  4. Step 4: Simplify right side
    769,346.25x = 3,172,132,868,828.06
  5. Step 5: Solve for x
    x = 3,172,132,868,828.06/769,346.25
  6. Step 6: Final answer
    x = 4,123,153.74

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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.