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Finding the Third Proportional to 414,632 and 895,504

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Solution

The third proportional to 414,632 and 895,504 is: 1,934,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,632 : 895,504 = 895,504 : x
  2. Step 2: Convert to fraction form
    414,632/895,504 = 895,504/x
  3. Step 3: Cross multiply
    414,632x = 895,504 × 895,504
  4. Step 4: Simplify right side
    414,632x = 801,927,414,016
  5. Step 5: Solve for x
    x = 801,927,414,016/414,632
  6. Step 6: Final answer
    x = 1,934,070.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.