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Finding the Third Proportional to 541,421 and 1,178,387

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Solution

The third proportional to 541,421 and 1,178,387 is: 2,564,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,421 : 1,178,387 = 1,178,387 : x
  2. Step 2: Convert to fraction form
    541,421/1,178,387 = 1,178,387/x
  3. Step 3: Cross multiply
    541,421x = 1,178,387 × 1,178,387
  4. Step 4: Simplify right side
    541,421x = 1,388,595,921,769
  5. Step 5: Solve for x
    x = 1,388,595,921,769/541,421
  6. Step 6: Final answer
    x = 2,564,724.90

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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.