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Finding the Third Proportional to 677,093 and 1,028,937

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Solution

The third proportional to 677,093 and 1,028,937 is: 1,563,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,093 : 1,028,937 = 1,028,937 : x
  2. Step 2: Convert to fraction form
    677,093/1,028,937 = 1,028,937/x
  3. Step 3: Cross multiply
    677,093x = 1,028,937 × 1,028,937
  4. Step 4: Simplify right side
    677,093x = 1,058,711,349,969
  5. Step 5: Solve for x
    x = 1,058,711,349,969/677,093
  6. Step 6: Final answer
    x = 1,563,612.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.