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Finding the Third Proportional to 974,232.81 and 1,403,336.39

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Solution

The third proportional to 974,232.81 and 1,403,336.39 is: 2,021,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,232.81 : 1,403,336.39 = 1,403,336.39 : x
  2. Step 2: Convert to fraction form
    974,232.81/1,403,336.39 = 1,403,336.39/x
  3. Step 3: Cross multiply
    974,232.81x = 1,403,336.39 × 1,403,336.39
  4. Step 4: Simplify right side
    974,232.81x = 1,969,353,025,252.40
  5. Step 5: Solve for x
    x = 1,969,353,025,252.40/974,232.81
  6. Step 6: Final answer
    x = 2,021,439.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.