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Finding the Third Proportional to 1,187,503 and 2,491,646

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Solution

The third proportional to 1,187,503 and 2,491,646 is: 5,228,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,503 : 2,491,646 = 2,491,646 : x
  2. Step 2: Convert to fraction form
    1,187,503/2,491,646 = 2,491,646/x
  3. Step 3: Cross multiply
    1,187,503x = 2,491,646 × 2,491,646
  4. Step 4: Simplify right side
    1,187,503x = 6,208,299,789,316
  5. Step 5: Solve for x
    x = 6,208,299,789,316/1,187,503
  6. Step 6: Final answer
    x = 5,228,028.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.