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Finding the Third Proportional to 1,090,591.50 and 2,329,620.75

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Solution

The third proportional to 1,090,591.50 and 2,329,620.75 is: 4,976,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,591.50 : 2,329,620.75 = 2,329,620.75 : x
  2. Step 2: Convert to fraction form
    1,090,591.50/2,329,620.75 = 2,329,620.75/x
  3. Step 3: Cross multiply
    1,090,591.50x = 2,329,620.75 × 2,329,620.75
  4. Step 4: Simplify right side
    1,090,591.50x = 5,427,132,838,830.56
  5. Step 5: Solve for x
    x = 5,427,132,838,830.56/1,090,591.50
  6. Step 6: Final answer
    x = 4,976,320.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.