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Finding the Third Proportional to 412,292.53 and 895,085.44

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Solution

The third proportional to 412,292.53 and 895,085.44 is: 1,943,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,292.53 : 895,085.44 = 895,085.44 : x
  2. Step 2: Convert to fraction form
    412,292.53/895,085.44 = 895,085.44/x
  3. Step 3: Cross multiply
    412,292.53x = 895,085.44 × 895,085.44
  4. Step 4: Simplify right side
    412,292.53x = 801,177,940,424.57
  5. Step 5: Solve for x
    x = 801,177,940,424.57/412,292.53
  6. Step 6: Final answer
    x = 1,943,226.91

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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.