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Finding the Third Proportional to 1,120,179.38 and 1,697,195.53

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Solution

The third proportional to 1,120,179.38 and 1,697,195.53 is: 2,571,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,179.38 : 1,697,195.53 = 1,697,195.53 : x
  2. Step 2: Convert to fraction form
    1,120,179.38/1,697,195.53 = 1,697,195.53/x
  3. Step 3: Cross multiply
    1,120,179.38x = 1,697,195.53 × 1,697,195.53
  4. Step 4: Simplify right side
    1,120,179.38x = 2,880,472,671,294.97
  5. Step 5: Solve for x
    x = 2,880,472,671,294.97/1,120,179.38
  6. Step 6: Final answer
    x = 2,571,438.77

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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.