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Finding the Third Proportional to 474,826.13 and 1,039,705.13

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Solution

The third proportional to 474,826.13 and 1,039,705.13 is: 2,276,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,826.13 : 1,039,705.13 = 1,039,705.13 : x
  2. Step 2: Convert to fraction form
    474,826.13/1,039,705.13 = 1,039,705.13/x
  3. Step 3: Cross multiply
    474,826.13x = 1,039,705.13 × 1,039,705.13
  4. Step 4: Simplify right side
    474,826.13x = 1,080,986,746,951.27
  5. Step 5: Solve for x
    x = 1,080,986,746,951.27/474,826.13
  6. Step 6: Final answer
    x = 2,276,594.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.