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Finding the Third Proportional to 1,266,317 and 1,810,711

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Solution

The third proportional to 1,266,317 and 1,810,711 is: 2,589,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,317 : 1,810,711 = 1,810,711 : x
  2. Step 2: Convert to fraction form
    1,266,317/1,810,711 = 1,810,711/x
  3. Step 3: Cross multiply
    1,266,317x = 1,810,711 × 1,810,711
  4. Step 4: Simplify right side
    1,266,317x = 3,278,674,325,521
  5. Step 5: Solve for x
    x = 3,278,674,325,521/1,266,317
  6. Step 6: Final answer
    x = 2,589,141.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.