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Finding the Third Proportional to 418,809 and 930,498

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Solution

The third proportional to 418,809 and 930,498 is: 2,067,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,809 : 930,498 = 930,498 : x
  2. Step 2: Convert to fraction form
    418,809/930,498 = 930,498/x
  3. Step 3: Cross multiply
    418,809x = 930,498 × 930,498
  4. Step 4: Simplify right side
    418,809x = 865,826,528,004
  5. Step 5: Solve for x
    x = 865,826,528,004/418,809
  6. Step 6: Final answer
    x = 2,067,354.16

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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.