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Finding the Third Proportional to 1,176,593.50 and 1,656,884

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Solution

The third proportional to 1,176,593.50 and 1,656,884 is: 2,333,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,593.50 : 1,656,884 = 1,656,884 : x
  2. Step 2: Convert to fraction form
    1,176,593.50/1,656,884 = 1,656,884/x
  3. Step 3: Cross multiply
    1,176,593.50x = 1,656,884 × 1,656,884
  4. Step 4: Simplify right side
    1,176,593.50x = 2,745,264,589,456
  5. Step 5: Solve for x
    x = 2,745,264,589,456/1,176,593.50
  6. Step 6: Final answer
    x = 2,333,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.