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Finding the Third Proportional to 1,382,868 and 2,169,312.75

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Solution

The third proportional to 1,382,868 and 2,169,312.75 is: 3,403,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,868 : 2,169,312.75 = 2,169,312.75 : x
  2. Step 2: Convert to fraction form
    1,382,868/2,169,312.75 = 2,169,312.75/x
  3. Step 3: Cross multiply
    1,382,868x = 2,169,312.75 × 2,169,312.75
  4. Step 4: Simplify right side
    1,382,868x = 4,705,917,807,312.56
  5. Step 5: Solve for x
    x = 4,705,917,807,312.56/1,382,868
  6. Step 6: Final answer
    x = 3,403,013.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.