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Finding the Third Proportional to 426,782 and 919,724

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Solution

The third proportional to 426,782 and 919,724 is: 1,982,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,782 : 919,724 = 919,724 : x
  2. Step 2: Convert to fraction form
    426,782/919,724 = 919,724/x
  3. Step 3: Cross multiply
    426,782x = 919,724 × 919,724
  4. Step 4: Simplify right side
    426,782x = 845,892,236,176
  5. Step 5: Solve for x
    x = 845,892,236,176/426,782
  6. Step 6: Final answer
    x = 1,982,024.16

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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.