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Finding the Third Proportional to 1,225,478 and 2,692,863

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Solution

The third proportional to 1,225,478 and 2,692,863 is: 5,917,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,478 : 2,692,863 = 2,692,863 : x
  2. Step 2: Convert to fraction form
    1,225,478/2,692,863 = 2,692,863/x
  3. Step 3: Cross multiply
    1,225,478x = 2,692,863 × 2,692,863
  4. Step 4: Simplify right side
    1,225,478x = 7,251,511,136,769
  5. Step 5: Solve for x
    x = 7,251,511,136,769/1,225,478
  6. Step 6: Final answer
    x = 5,917,291.98

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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.