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Finding the Third Proportional to 1,187,362.75 and 2,592,468.75

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Solution

The third proportional to 1,187,362.75 and 2,592,468.75 is: 5,660,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,362.75 : 2,592,468.75 = 2,592,468.75 : x
  2. Step 2: Convert to fraction form
    1,187,362.75/2,592,468.75 = 2,592,468.75/x
  3. Step 3: Cross multiply
    1,187,362.75x = 2,592,468.75 × 2,592,468.75
  4. Step 4: Simplify right side
    1,187,362.75x = 6,720,894,219,726.56
  5. Step 5: Solve for x
    x = 6,720,894,219,726.56/1,187,362.75
  6. Step 6: Final answer
    x = 5,660,354.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.