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Finding the Third Proportional to 1,780,129.13 and 2,758,152.38

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Solution

The third proportional to 1,780,129.13 and 2,758,152.38 is: 4,273,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,129.13 : 2,758,152.38 = 2,758,152.38 : x
  2. Step 2: Convert to fraction form
    1,780,129.13/2,758,152.38 = 2,758,152.38/x
  3. Step 3: Cross multiply
    1,780,129.13x = 2,758,152.38 × 2,758,152.38
  4. Step 4: Simplify right side
    1,780,129.13x = 7,607,404,523,718.14
  5. Step 5: Solve for x
    x = 7,607,404,523,718.14/1,780,129.13
  6. Step 6: Final answer
    x = 4,273,512.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.