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Finding the Third Proportional to 1,228,943 and 2,516,921

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Solution

The third proportional to 1,228,943 and 2,516,921 is: 5,154,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,943 : 2,516,921 = 2,516,921 : x
  2. Step 2: Convert to fraction form
    1,228,943/2,516,921 = 2,516,921/x
  3. Step 3: Cross multiply
    1,228,943x = 2,516,921 × 2,516,921
  4. Step 4: Simplify right side
    1,228,943x = 6,334,891,320,241
  5. Step 5: Solve for x
    x = 6,334,891,320,241/1,228,943
  6. Step 6: Final answer
    x = 5,154,747.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.