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Finding the Third Proportional to 1,741,128 and 2,663,206.50

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Solution

The third proportional to 1,741,128 and 2,663,206.50 is: 4,073,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,128 : 2,663,206.50 = 2,663,206.50 : x
  2. Step 2: Convert to fraction form
    1,741,128/2,663,206.50 = 2,663,206.50/x
  3. Step 3: Cross multiply
    1,741,128x = 2,663,206.50 × 2,663,206.50
  4. Step 4: Simplify right side
    1,741,128x = 7,092,668,861,642.25
  5. Step 5: Solve for x
    x = 7,092,668,861,642.25/1,741,128
  6. Step 6: Final answer
    x = 4,073,605.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.