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Finding the Third Proportional to 539,872 and 1,181,440

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Solution

The third proportional to 539,872 and 1,181,440 is: 2,585,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,872 : 1,181,440 = 1,181,440 : x
  2. Step 2: Convert to fraction form
    539,872/1,181,440 = 1,181,440/x
  3. Step 3: Cross multiply
    539,872x = 1,181,440 × 1,181,440
  4. Step 4: Simplify right side
    539,872x = 1,395,800,473,600
  5. Step 5: Solve for x
    x = 1,395,800,473,600/539,872
  6. Step 6: Final answer
    x = 2,585,428.53

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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.