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Finding the Third Proportional to 1,034,902 and 2,227,184

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Solution

The third proportional to 1,034,902 and 2,227,184 is: 4,793,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,902 : 2,227,184 = 2,227,184 : x
  2. Step 2: Convert to fraction form
    1,034,902/2,227,184 = 2,227,184/x
  3. Step 3: Cross multiply
    1,034,902x = 2,227,184 × 2,227,184
  4. Step 4: Simplify right side
    1,034,902x = 4,960,348,569,856
  5. Step 5: Solve for x
    x = 4,960,348,569,856/1,034,902
  6. Step 6: Final answer
    x = 4,793,061.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.