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Finding the Third Proportional to 418,167 and 916,362

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Solution

The third proportional to 418,167 and 916,362 is: 2,008,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,167 : 916,362 = 916,362 : x
  2. Step 2: Convert to fraction form
    418,167/916,362 = 916,362/x
  3. Step 3: Cross multiply
    418,167x = 916,362 × 916,362
  4. Step 4: Simplify right side
    418,167x = 839,719,315,044
  5. Step 5: Solve for x
    x = 839,719,315,044/418,167
  6. Step 6: Final answer
    x = 2,008,095.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.