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Finding the Third Proportional to 433,894 and 888,924

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Solution

The third proportional to 433,894 and 888,924 is: 1,821,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,894 : 888,924 = 888,924 : x
  2. Step 2: Convert to fraction form
    433,894/888,924 = 888,924/x
  3. Step 3: Cross multiply
    433,894x = 888,924 × 888,924
  4. Step 4: Simplify right side
    433,894x = 790,185,877,776
  5. Step 5: Solve for x
    x = 790,185,877,776/433,894
  6. Step 6: Final answer
    x = 1,821,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.