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Finding the Third Proportional to 1,002,640.50 and 2,165,086.50

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Solution

The third proportional to 1,002,640.50 and 2,165,086.50 is: 4,675,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,640.50 : 2,165,086.50 = 2,165,086.50 : x
  2. Step 2: Convert to fraction form
    1,002,640.50/2,165,086.50 = 2,165,086.50/x
  3. Step 3: Cross multiply
    1,002,640.50x = 2,165,086.50 × 2,165,086.50
  4. Step 4: Simplify right side
    1,002,640.50x = 4,687,599,552,482.25
  5. Step 5: Solve for x
    x = 4,687,599,552,482.25/1,002,640.50
  6. Step 6: Final answer
    x = 4,675,254.54

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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.