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Finding the Third Proportional to 414,569 and 899,122

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Solution

The third proportional to 414,569 and 899,122 is: 1,950,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,569 : 899,122 = 899,122 : x
  2. Step 2: Convert to fraction form
    414,569/899,122 = 899,122/x
  3. Step 3: Cross multiply
    414,569x = 899,122 × 899,122
  4. Step 4: Simplify right side
    414,569x = 808,420,370,884
  5. Step 5: Solve for x
    x = 808,420,370,884/414,569
  6. Step 6: Final answer
    x = 1,950,026.10

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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.