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Finding the Third Proportional to 514,444.50 and 1,126,959.75

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Solution

The third proportional to 514,444.50 and 1,126,959.75 is: 2,468,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,444.50 : 1,126,959.75 = 1,126,959.75 : x
  2. Step 2: Convert to fraction form
    514,444.50/1,126,959.75 = 1,126,959.75/x
  3. Step 3: Cross multiply
    514,444.50x = 1,126,959.75 × 1,126,959.75
  4. Step 4: Simplify right side
    514,444.50x = 1,270,038,278,120.06
  5. Step 5: Solve for x
    x = 1,270,038,278,120.06/514,444.50
  6. Step 6: Final answer
    x = 2,468,756.65

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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.