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Finding the Third Proportional to 547,822 and 1,195,291

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Solution

The third proportional to 547,822 and 1,195,291 is: 2,608,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,822 : 1,195,291 = 1,195,291 : x
  2. Step 2: Convert to fraction form
    547,822/1,195,291 = 1,195,291/x
  3. Step 3: Cross multiply
    547,822x = 1,195,291 × 1,195,291
  4. Step 4: Simplify right side
    547,822x = 1,428,720,574,681
  5. Step 5: Solve for x
    x = 1,428,720,574,681/547,822
  6. Step 6: Final answer
    x = 2,608,001.46

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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.