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Finding the Third Proportional to 544,023 and 1,175,634

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Solution

The third proportional to 544,023 and 1,175,634 is: 2,540,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,023 : 1,175,634 = 1,175,634 : x
  2. Step 2: Convert to fraction form
    544,023/1,175,634 = 1,175,634/x
  3. Step 3: Cross multiply
    544,023x = 1,175,634 × 1,175,634
  4. Step 4: Simplify right side
    544,023x = 1,382,115,301,956
  5. Step 5: Solve for x
    x = 1,382,115,301,956/544,023
  6. Step 6: Final answer
    x = 2,540,545.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.