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Finding the Third Proportional to 769,346 and 1,781,047.75

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Solution

The third proportional to 769,346 and 1,781,047.75 is: 4,123,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,346 : 1,781,047.75 = 1,781,047.75 : x
  2. Step 2: Convert to fraction form
    769,346/1,781,047.75 = 1,781,047.75/x
  3. Step 3: Cross multiply
    769,346x = 1,781,047.75 × 1,781,047.75
  4. Step 4: Simplify right side
    769,346x = 3,172,131,087,780.06
  5. Step 5: Solve for x
    x = 3,172,131,087,780.06/769,346
  6. Step 6: Final answer
    x = 4,123,152.77

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Why These Related Problems?

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