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Finding the Third Proportional to 1,013,924 and 2,214,822

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Solution

The third proportional to 1,013,924 and 2,214,822 is: 4,838,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,924 : 2,214,822 = 2,214,822 : x
  2. Step 2: Convert to fraction form
    1,013,924/2,214,822 = 2,214,822/x
  3. Step 3: Cross multiply
    1,013,924x = 2,214,822 × 2,214,822
  4. Step 4: Simplify right side
    1,013,924x = 4,905,436,491,684
  5. Step 5: Solve for x
    x = 4,905,436,491,684/1,013,924
  6. Step 6: Final answer
    x = 4,838,071.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.