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Finding the Third Proportional to 1,256,023.13 and 2,724,715.13

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Solution

The third proportional to 1,256,023.13 and 2,724,715.13 is: 5,910,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,023.13 : 2,724,715.13 = 2,724,715.13 : x
  2. Step 2: Convert to fraction form
    1,256,023.13/2,724,715.13 = 2,724,715.13/x
  3. Step 3: Cross multiply
    1,256,023.13x = 2,724,715.13 × 2,724,715.13
  4. Step 4: Simplify right side
    1,256,023.13x = 7,424,072,512,403.77
  5. Step 5: Solve for x
    x = 7,424,072,512,403.77/1,256,023.13
  6. Step 6: Final answer
    x = 5,910,776.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.