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Finding the Third Proportional to 1,222,846.24 and 2,656,401.01

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Solution

The third proportional to 1,222,846.24 and 2,656,401.01 is: 5,770,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,846.24 : 2,656,401.01 = 2,656,401.01 : x
  2. Step 2: Convert to fraction form
    1,222,846.24/2,656,401.01 = 2,656,401.01/x
  3. Step 3: Cross multiply
    1,222,846.24x = 2,656,401.01 × 2,656,401.01
  4. Step 4: Simplify right side
    1,222,846.24x = 7,056,466,335,060.66
  5. Step 5: Solve for x
    x = 7,056,466,335,060.66/1,222,846.24
  6. Step 6: Final answer
    x = 5,770,526.25

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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.