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Finding the Third Proportional to 1,411,344 and 2,120,205.38

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Solution

The third proportional to 1,411,344 and 2,120,205.38 is: 3,185,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,344 : 2,120,205.38 = 2,120,205.38 : x
  2. Step 2: Convert to fraction form
    1,411,344/2,120,205.38 = 2,120,205.38/x
  3. Step 3: Cross multiply
    1,411,344x = 2,120,205.38 × 2,120,205.38
  4. Step 4: Simplify right side
    1,411,344x = 4,495,270,832,178.89
  5. Step 5: Solve for x
    x = 4,495,270,832,178.89/1,411,344
  6. Step 6: Final answer
    x = 3,185,099.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.