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Finding the Third Proportional to 3,489,374 and 5,213,146

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Solution

The third proportional to 3,489,374 and 5,213,146 is: 7,788,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,374 : 5,213,146 = 5,213,146 : x
  2. Step 2: Convert to fraction form
    3,489,374/5,213,146 = 5,213,146/x
  3. Step 3: Cross multiply
    3,489,374x = 5,213,146 × 5,213,146
  4. Step 4: Simplify right side
    3,489,374x = 27,176,891,217,316
  5. Step 5: Solve for x
    x = 27,176,891,217,316/3,489,374
  6. Step 6: Final answer
    x = 7,788,471.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.