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Finding the Third Proportional to 539,342 and 1,173,820

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Solution

The third proportional to 539,342 and 1,173,820 is: 2,554,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,342 : 1,173,820 = 1,173,820 : x
  2. Step 2: Convert to fraction form
    539,342/1,173,820 = 1,173,820/x
  3. Step 3: Cross multiply
    539,342x = 1,173,820 × 1,173,820
  4. Step 4: Simplify right side
    539,342x = 1,377,853,392,400
  5. Step 5: Solve for x
    x = 1,377,853,392,400/539,342
  6. Step 6: Final answer
    x = 2,554,693.30

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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.