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Finding the Third Proportional to 407,007 and 868,049

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Solution

The third proportional to 407,007 and 868,049 is: 1,851,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,007 : 868,049 = 868,049 : x
  2. Step 2: Convert to fraction form
    407,007/868,049 = 868,049/x
  3. Step 3: Cross multiply
    407,007x = 868,049 × 868,049
  4. Step 4: Simplify right side
    407,007x = 753,509,066,401
  5. Step 5: Solve for x
    x = 753,509,066,401/407,007
  6. Step 6: Final answer
    x = 1,851,341.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.