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Finding the Third Proportional to 426,856 and 919,920

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Solution

The third proportional to 426,856 and 919,920 is: 1,982,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,856 : 919,920 = 919,920 : x
  2. Step 2: Convert to fraction form
    426,856/919,920 = 919,920/x
  3. Step 3: Cross multiply
    426,856x = 919,920 × 919,920
  4. Step 4: Simplify right side
    426,856x = 846,252,806,400
  5. Step 5: Solve for x
    x = 846,252,806,400/426,856
  6. Step 6: Final answer
    x = 1,982,525.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.