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Finding the Third Proportional to 677,707.75 and 1,425,305.75

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Solution

The third proportional to 677,707.75 and 1,425,305.75 is: 2,997,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,707.75 : 1,425,305.75 = 1,425,305.75 : x
  2. Step 2: Convert to fraction form
    677,707.75/1,425,305.75 = 1,425,305.75/x
  3. Step 3: Cross multiply
    677,707.75x = 1,425,305.75 × 1,425,305.75
  4. Step 4: Simplify right side
    677,707.75x = 2,031,496,480,983.06
  5. Step 5: Solve for x
    x = 2,031,496,480,983.06/677,707.75
  6. Step 6: Final answer
    x = 2,997,599.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.