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Finding the Third Proportional to 1,167,859.50 and 2,565,406

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Solution

The third proportional to 1,167,859.50 and 2,565,406 is: 5,635,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,859.50 : 2,565,406 = 2,565,406 : x
  2. Step 2: Convert to fraction form
    1,167,859.50/2,565,406 = 2,565,406/x
  3. Step 3: Cross multiply
    1,167,859.50x = 2,565,406 × 2,565,406
  4. Step 4: Simplify right side
    1,167,859.50x = 6,581,307,944,836
  5. Step 5: Solve for x
    x = 6,581,307,944,836/1,167,859.50
  6. Step 6: Final answer
    x = 5,635,359.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.