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Finding the Third Proportional to 452,395.13 and 974,295.84

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Solution

The third proportional to 452,395.13 and 974,295.84 is: 2,098,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,395.13 : 974,295.84 = 974,295.84 : x
  2. Step 2: Convert to fraction form
    452,395.13/974,295.84 = 974,295.84/x
  3. Step 3: Cross multiply
    452,395.13x = 974,295.84 × 974,295.84
  4. Step 4: Simplify right side
    452,395.13x = 949,252,391,148.52
  5. Step 5: Solve for x
    x = 949,252,391,148.52/452,395.13
  6. Step 6: Final answer
    x = 2,098,281.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.