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Finding the Third Proportional to 421,438 and 917,714

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Solution

The third proportional to 421,438 and 917,714 is: 1,998,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,438 : 917,714 = 917,714 : x
  2. Step 2: Convert to fraction form
    421,438/917,714 = 917,714/x
  3. Step 3: Cross multiply
    421,438x = 917,714 × 917,714
  4. Step 4: Simplify right side
    421,438x = 842,198,985,796
  5. Step 5: Solve for x
    x = 842,198,985,796/421,438
  6. Step 6: Final answer
    x = 1,998,393.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.