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Finding the Third Proportional to 547,389 and 1,175,691

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Solution

The third proportional to 547,389 and 1,175,691 is: 2,525,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,389 : 1,175,691 = 1,175,691 : x
  2. Step 2: Convert to fraction form
    547,389/1,175,691 = 1,175,691/x
  3. Step 3: Cross multiply
    547,389x = 1,175,691 × 1,175,691
  4. Step 4: Simplify right side
    547,389x = 1,382,249,327,481
  5. Step 5: Solve for x
    x = 1,382,249,327,481/547,389
  6. Step 6: Final answer
    x = 2,525,168.26

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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.