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Finding the Third Proportional to 468,767.57 and 1,022,718.02

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Solution

The third proportional to 468,767.57 and 1,022,718.02 is: 2,231,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,767.57 : 1,022,718.02 = 1,022,718.02 : x
  2. Step 2: Convert to fraction form
    468,767.57/1,022,718.02 = 1,022,718.02/x
  3. Step 3: Cross multiply
    468,767.57x = 1,022,718.02 × 1,022,718.02
  4. Step 4: Simplify right side
    468,767.57x = 1,045,952,155,463.91
  5. Step 5: Solve for x
    x = 1,045,952,155,463.91/468,767.57
  6. Step 6: Final answer
    x = 2,231,280.98

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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.