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Finding the Third Proportional to 539,894 and 1,181,473

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Solution

The third proportional to 539,894 and 1,181,473 is: 2,585,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,894 : 1,181,473 = 1,181,473 : x
  2. Step 2: Convert to fraction form
    539,894/1,181,473 = 1,181,473/x
  3. Step 3: Cross multiply
    539,894x = 1,181,473 × 1,181,473
  4. Step 4: Simplify right side
    539,894x = 1,395,878,449,729
  5. Step 5: Solve for x
    x = 1,395,878,449,729/539,894
  6. Step 6: Final answer
    x = 2,585,467.61

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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.