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Finding the Third Proportional to 1,109,694 and 1,676,207

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Solution

The third proportional to 1,109,694 and 1,676,207 is: 2,531,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,694 : 1,676,207 = 1,676,207 : x
  2. Step 2: Convert to fraction form
    1,109,694/1,676,207 = 1,676,207/x
  3. Step 3: Cross multiply
    1,109,694x = 1,676,207 × 1,676,207
  4. Step 4: Simplify right side
    1,109,694x = 2,809,669,906,849
  5. Step 5: Solve for x
    x = 2,809,669,906,849/1,109,694
  6. Step 6: Final answer
    x = 2,531,932.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.