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Finding the Third Proportional to 539,913 and 1,181,521

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Solution

The third proportional to 539,913 and 1,181,521 is: 2,585,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,913 : 1,181,521 = 1,181,521 : x
  2. Step 2: Convert to fraction form
    539,913/1,181,521 = 1,181,521/x
  3. Step 3: Cross multiply
    539,913x = 1,181,521 × 1,181,521
  4. Step 4: Simplify right side
    539,913x = 1,395,991,873,441
  5. Step 5: Solve for x
    x = 1,395,991,873,441/539,913
  6. Step 6: Final answer
    x = 2,585,586.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.