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Finding the Third Proportional to 579,668 and 891,102

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Solution

The third proportional to 579,668 and 891,102 is: 1,369,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,668 : 891,102 = 891,102 : x
  2. Step 2: Convert to fraction form
    579,668/891,102 = 891,102/x
  3. Step 3: Cross multiply
    579,668x = 891,102 × 891,102
  4. Step 4: Simplify right side
    579,668x = 794,062,774,404
  5. Step 5: Solve for x
    x = 794,062,774,404/579,668
  6. Step 6: Final answer
    x = 1,369,857.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.