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Finding the Third Proportional to 550,414 and 1,212,566

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Solution

The third proportional to 550,414 and 1,212,566 is: 2,671,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,414 : 1,212,566 = 1,212,566 : x
  2. Step 2: Convert to fraction form
    550,414/1,212,566 = 1,212,566/x
  3. Step 3: Cross multiply
    550,414x = 1,212,566 × 1,212,566
  4. Step 4: Simplify right side
    550,414x = 1,470,316,304,356
  5. Step 5: Solve for x
    x = 1,470,316,304,356/550,414
  6. Step 6: Final answer
    x = 2,671,291.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.