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Finding the Third Proportional to 401,496 and 891,564

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Solution

The third proportional to 401,496 and 891,564 is: 1,979,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,496 : 891,564 = 891,564 : x
  2. Step 2: Convert to fraction form
    401,496/891,564 = 891,564/x
  3. Step 3: Cross multiply
    401,496x = 891,564 × 891,564
  4. Step 4: Simplify right side
    401,496x = 794,886,366,096
  5. Step 5: Solve for x
    x = 794,886,366,096/401,496
  6. Step 6: Final answer
    x = 1,979,811.42

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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.