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Finding the Third Proportional to 539,584 and 1,165,621

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Solution

The third proportional to 539,584 and 1,165,621 is: 2,517,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,584 : 1,165,621 = 1,165,621 : x
  2. Step 2: Convert to fraction form
    539,584/1,165,621 = 1,165,621/x
  3. Step 3: Cross multiply
    539,584x = 1,165,621 × 1,165,621
  4. Step 4: Simplify right side
    539,584x = 1,358,672,315,641
  5. Step 5: Solve for x
    x = 1,358,672,315,641/539,584
  6. Step 6: Final answer
    x = 2,517,999.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.