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Finding the Third Proportional to 1,381,652.44 and 2,093,946.19

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Solution

The third proportional to 1,381,652.44 and 2,093,946.19 is: 3,173,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,652.44 : 2,093,946.19 = 2,093,946.19 : x
  2. Step 2: Convert to fraction form
    1,381,652.44/2,093,946.19 = 2,093,946.19/x
  3. Step 3: Cross multiply
    1,381,652.44x = 2,093,946.19 × 2,093,946.19
  4. Step 4: Simplify right side
    1,381,652.44x = 4,384,610,636,145.79
  5. Step 5: Solve for x
    x = 4,384,610,636,145.79/1,381,652.44
  6. Step 6: Final answer
    x = 3,173,454.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.