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Finding the Third Proportional to 451,538 and 987,033

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Solution

The third proportional to 451,538 and 987,033 is: 2,157,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,538 : 987,033 = 987,033 : x
  2. Step 2: Convert to fraction form
    451,538/987,033 = 987,033/x
  3. Step 3: Cross multiply
    451,538x = 987,033 × 987,033
  4. Step 4: Simplify right side
    451,538x = 974,234,143,089
  5. Step 5: Solve for x
    x = 974,234,143,089/451,538
  6. Step 6: Final answer
    x = 2,157,590.60

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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.