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Finding the Third Proportional to 492,402.38 and 1,071,079.88

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Solution

The third proportional to 492,402.38 and 1,071,079.88 is: 2,329,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,402.38 : 1,071,079.88 = 1,071,079.88 : x
  2. Step 2: Convert to fraction form
    492,402.38/1,071,079.88 = 1,071,079.88/x
  3. Step 3: Cross multiply
    492,402.38x = 1,071,079.88 × 1,071,079.88
  4. Step 4: Simplify right side
    492,402.38x = 1,147,212,098,630.02
  5. Step 5: Solve for x
    x = 1,147,212,098,630.02/492,402.38
  6. Step 6: Final answer
    x = 2,329,826.49

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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.