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Finding the Third Proportional to 440,743 and 964,538

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Solution

The third proportional to 440,743 and 964,538 is: 2,110,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,743 : 964,538 = 964,538 : x
  2. Step 2: Convert to fraction form
    440,743/964,538 = 964,538/x
  3. Step 3: Cross multiply
    440,743x = 964,538 × 964,538
  4. Step 4: Simplify right side
    440,743x = 930,333,553,444
  5. Step 5: Solve for x
    x = 930,333,553,444/440,743
  6. Step 6: Final answer
    x = 2,110,830.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.