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Finding the Third Proportional to 549,724 and 1,182,553

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Solution

The third proportional to 549,724 and 1,182,553 is: 2,543,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,724 : 1,182,553 = 1,182,553 : x
  2. Step 2: Convert to fraction form
    549,724/1,182,553 = 1,182,553/x
  3. Step 3: Cross multiply
    549,724x = 1,182,553 × 1,182,553
  4. Step 4: Simplify right side
    549,724x = 1,398,431,597,809
  5. Step 5: Solve for x
    x = 1,398,431,597,809/549,724
  6. Step 6: Final answer
    x = 2,543,879.47

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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.