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Finding the Third Proportional to 1,966,786.31 and 3,037,522.78

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Solution

The third proportional to 1,966,786.31 and 3,037,522.78 is: 4,691,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,786.31 : 3,037,522.78 = 3,037,522.78 : x
  2. Step 2: Convert to fraction form
    1,966,786.31/3,037,522.78 = 3,037,522.78/x
  3. Step 3: Cross multiply
    1,966,786.31x = 3,037,522.78 × 3,037,522.78
  4. Step 4: Simplify right side
    1,966,786.31x = 9,226,544,646,612.74
  5. Step 5: Solve for x
    x = 9,226,544,646,612.74/1,966,786.31
  6. Step 6: Final answer
    x = 4,691,177.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.