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Finding the Third Proportional to 415,621.13 and 895,356.28

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Solution

The third proportional to 415,621.13 and 895,356.28 is: 1,928,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,621.13 : 895,356.28 = 895,356.28 : x
  2. Step 2: Convert to fraction form
    415,621.13/895,356.28 = 895,356.28/x
  3. Step 3: Cross multiply
    415,621.13x = 895,356.28 × 895,356.28
  4. Step 4: Simplify right side
    415,621.13x = 801,662,870,373.83
  5. Step 5: Solve for x
    x = 801,662,870,373.83/415,621.13
  6. Step 6: Final answer
    x = 1,928,830.90

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Why These Related Problems?

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