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Finding the Third Proportional to 539,579 and 1,165,612.50

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Solution

The third proportional to 539,579 and 1,165,612.50 is: 2,517,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,579 : 1,165,612.50 = 1,165,612.50 : x
  2. Step 2: Convert to fraction form
    539,579/1,165,612.50 = 1,165,612.50/x
  3. Step 3: Cross multiply
    539,579x = 1,165,612.50 × 1,165,612.50
  4. Step 4: Simplify right side
    539,579x = 1,358,652,500,156.25
  5. Step 5: Solve for x
    x = 1,358,652,500,156.25/539,579
  6. Step 6: Final answer
    x = 2,517,986.25

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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.