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Finding the Third Proportional to 418,514 and 894,484

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Solution

The third proportional to 418,514 and 894,484 is: 1,911,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,514 : 894,484 = 894,484 : x
  2. Step 2: Convert to fraction form
    418,514/894,484 = 894,484/x
  3. Step 3: Cross multiply
    418,514x = 894,484 × 894,484
  4. Step 4: Simplify right side
    418,514x = 800,101,626,256
  5. Step 5: Solve for x
    x = 800,101,626,256/418,514
  6. Step 6: Final answer
    x = 1,911,767.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.