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Finding the Third Proportional to 484,446.13 and 1,042,925.63

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Solution

The third proportional to 484,446.13 and 1,042,925.63 is: 2,245,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,446.13 : 1,042,925.63 = 1,042,925.63 : x
  2. Step 2: Convert to fraction form
    484,446.13/1,042,925.63 = 1,042,925.63/x
  3. Step 3: Cross multiply
    484,446.13x = 1,042,925.63 × 1,042,925.63
  4. Step 4: Simplify right side
    484,446.13x = 1,087,693,859,281.64
  5. Step 5: Solve for x
    x = 1,087,693,859,281.64/484,446.13
  6. Step 6: Final answer
    x = 2,245,231.81

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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.