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Finding the Third Proportional to 677,000 and 1,603,940

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Solution

The third proportional to 677,000 and 1,603,940 is: 3,800,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,000 : 1,603,940 = 1,603,940 : x
  2. Step 2: Convert to fraction form
    677,000/1,603,940 = 1,603,940/x
  3. Step 3: Cross multiply
    677,000x = 1,603,940 × 1,603,940
  4. Step 4: Simplify right side
    677,000x = 2,572,623,523,600
  5. Step 5: Solve for x
    x = 2,572,623,523,600/677,000
  6. Step 6: Final answer
    x = 3,800,034.75

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.