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Finding the Third Proportional to 709,826 and 1,548,114

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Solution

The third proportional to 709,826 and 1,548,114 is: 3,376,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,826 : 1,548,114 = 1,548,114 : x
  2. Step 2: Convert to fraction form
    709,826/1,548,114 = 1,548,114/x
  3. Step 3: Cross multiply
    709,826x = 1,548,114 × 1,548,114
  4. Step 4: Simplify right side
    709,826x = 2,396,656,956,996
  5. Step 5: Solve for x
    x = 2,396,656,956,996/709,826
  6. Step 6: Final answer
    x = 3,376,400.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.