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Finding the Third Proportional to 668,300 and 1,023,620

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Solution

The third proportional to 668,300 and 1,023,620 is: 1,567,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,300 : 1,023,620 = 1,023,620 : x
  2. Step 2: Convert to fraction form
    668,300/1,023,620 = 1,023,620/x
  3. Step 3: Cross multiply
    668,300x = 1,023,620 × 1,023,620
  4. Step 4: Simplify right side
    668,300x = 1,047,797,904,400
  5. Step 5: Solve for x
    x = 1,047,797,904,400/668,300
  6. Step 6: Final answer
    x = 1,567,855.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.