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Finding the Third Proportional to 480,977.68 and 1,045,121.17

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Solution

The third proportional to 480,977.68 and 1,045,121.17 is: 2,270,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,977.68 : 1,045,121.17 = 1,045,121.17 : x
  2. Step 2: Convert to fraction form
    480,977.68/1,045,121.17 = 1,045,121.17/x
  3. Step 3: Cross multiply
    480,977.68x = 1,045,121.17 × 1,045,121.17
  4. Step 4: Simplify right side
    480,977.68x = 1,092,278,255,736.47
  5. Step 5: Solve for x
    x = 1,092,278,255,736.47/480,977.68
  6. Step 6: Final answer
    x = 2,270,954.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.