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Finding the Third Proportional to 677,090.25 and 1,028,934

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Solution

The third proportional to 677,090.25 and 1,028,934 is: 1,563,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,090.25 : 1,028,934 = 1,028,934 : x
  2. Step 2: Convert to fraction form
    677,090.25/1,028,934 = 1,028,934/x
  3. Step 3: Cross multiply
    677,090.25x = 1,028,934 × 1,028,934
  4. Step 4: Simplify right side
    677,090.25x = 1,058,705,176,356
  5. Step 5: Solve for x
    x = 1,058,705,176,356/677,090.25
  6. Step 6: Final answer
    x = 1,563,610.13

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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.