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Finding the Third Proportional to 514,856.94 and 1,107,195.38

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Solution

The third proportional to 514,856.94 and 1,107,195.38 is: 2,381,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,856.94 : 1,107,195.38 = 1,107,195.38 : x
  2. Step 2: Convert to fraction form
    514,856.94/1,107,195.38 = 1,107,195.38/x
  3. Step 3: Cross multiply
    514,856.94x = 1,107,195.38 × 1,107,195.38
  4. Step 4: Simplify right side
    514,856.94x = 1,225,881,598,421.39
  5. Step 5: Solve for x
    x = 1,225,881,598,421.39/514,856.94
  6. Step 6: Final answer
    x = 2,381,014.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.