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Finding the Third Proportional to 677,085 and 1,028,925

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Solution

The third proportional to 677,085 and 1,028,925 is: 1,563,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,085 : 1,028,925 = 1,028,925 : x
  2. Step 2: Convert to fraction form
    677,085/1,028,925 = 1,028,925/x
  3. Step 3: Cross multiply
    677,085x = 1,028,925 × 1,028,925
  4. Step 4: Simplify right side
    677,085x = 1,058,686,655,625
  5. Step 5: Solve for x
    x = 1,058,686,655,625/677,085
  6. Step 6: Final answer
    x = 1,563,594.90

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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.