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Finding the Third Proportional to 546,952 and 1,181,539

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Solution

The third proportional to 546,952 and 1,181,539 is: 2,552,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,952 : 1,181,539 = 1,181,539 : x
  2. Step 2: Convert to fraction form
    546,952/1,181,539 = 1,181,539/x
  3. Step 3: Cross multiply
    546,952x = 1,181,539 × 1,181,539
  4. Step 4: Simplify right side
    546,952x = 1,396,034,408,521
  5. Step 5: Solve for x
    x = 1,396,034,408,521/546,952
  6. Step 6: Final answer
    x = 2,552,389.26

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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.