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Finding the Third Proportional to 418,806 and 930,492

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Solution

The third proportional to 418,806 and 930,492 is: 2,067,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,806 : 930,492 = 930,492 : x
  2. Step 2: Convert to fraction form
    418,806/930,492 = 930,492/x
  3. Step 3: Cross multiply
    418,806x = 930,492 × 930,492
  4. Step 4: Simplify right side
    418,806x = 865,815,362,064
  5. Step 5: Solve for x
    x = 865,815,362,064/418,806
  6. Step 6: Final answer
    x = 2,067,342.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.