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Finding the Third Proportional to 418,680 and 907,560

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Solution

The third proportional to 418,680 and 907,560 is: 1,967,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,680 : 907,560 = 907,560 : x
  2. Step 2: Convert to fraction form
    418,680/907,560 = 907,560/x
  3. Step 3: Cross multiply
    418,680x = 907,560 × 907,560
  4. Step 4: Simplify right side
    418,680x = 823,665,153,600
  5. Step 5: Solve for x
    x = 823,665,153,600/418,680
  6. Step 6: Final answer
    x = 1,967,290.42

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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.