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Finding the Third Proportional to 974,490.75 and 1,417,449.38

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Solution

The third proportional to 974,490.75 and 1,417,449.38 is: 2,061,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,490.75 : 1,417,449.38 = 1,417,449.38 : x
  2. Step 2: Convert to fraction form
    974,490.75/1,417,449.38 = 1,417,449.38/x
  3. Step 3: Cross multiply
    974,490.75x = 1,417,449.38 × 1,417,449.38
  4. Step 4: Simplify right side
    974,490.75x = 2,009,162,730,687.89
  5. Step 5: Solve for x
    x = 2,009,162,730,687.89/974,490.75
  6. Step 6: Final answer
    x = 2,061,756.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.