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Finding the Third Proportional to 1,577,448.56 and 3,431,282.63

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Solution

The third proportional to 1,577,448.56 and 3,431,282.63 is: 7,463,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,448.56 : 3,431,282.63 = 3,431,282.63 : x
  2. Step 2: Convert to fraction form
    1,577,448.56/3,431,282.63 = 3,431,282.63/x
  3. Step 3: Cross multiply
    1,577,448.56x = 3,431,282.63 × 3,431,282.63
  4. Step 4: Simplify right side
    1,577,448.56x = 11,773,700,452,626.89
  5. Step 5: Solve for x
    x = 11,773,700,452,626.89/1,577,448.56
  6. Step 6: Final answer
    x = 7,463,761.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.