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Finding the Third Proportional to 1,061,444.25 and 2,309,512.50

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Solution

The third proportional to 1,061,444.25 and 2,309,512.50 is: 5,025,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,444.25 : 2,309,512.50 = 2,309,512.50 : x
  2. Step 2: Convert to fraction form
    1,061,444.25/2,309,512.50 = 2,309,512.50/x
  3. Step 3: Cross multiply
    1,061,444.25x = 2,309,512.50 × 2,309,512.50
  4. Step 4: Simplify right side
    1,061,444.25x = 5,333,847,987,656.25
  5. Step 5: Solve for x
    x = 5,333,847,987,656.25/1,061,444.25
  6. Step 6: Final answer
    x = 5,025,085.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.