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Finding the Third Proportional to 617,873 and 929,969

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Solution

The third proportional to 617,873 and 929,969 is: 1,399,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,873 : 929,969 = 929,969 : x
  2. Step 2: Convert to fraction form
    617,873/929,969 = 929,969/x
  3. Step 3: Cross multiply
    617,873x = 929,969 × 929,969
  4. Step 4: Simplify right side
    617,873x = 864,842,340,961
  5. Step 5: Solve for x
    x = 864,842,340,961/617,873
  6. Step 6: Final answer
    x = 1,399,708.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.