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Finding the Third Proportional to 514,912.50 and 1,121,364

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Solution

The third proportional to 514,912.50 and 1,121,364 is: 2,442,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,912.50 : 1,121,364 = 1,121,364 : x
  2. Step 2: Convert to fraction form
    514,912.50/1,121,364 = 1,121,364/x
  3. Step 3: Cross multiply
    514,912.50x = 1,121,364 × 1,121,364
  4. Step 4: Simplify right side
    514,912.50x = 1,257,457,220,496
  5. Step 5: Solve for x
    x = 1,257,457,220,496/514,912.50
  6. Step 6: Final answer
    x = 2,442,079.42

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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.