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Finding the Third Proportional to 1,037,728.97 and 2,141,928.56

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Solution

The third proportional to 1,037,728.97 and 2,141,928.56 is: 4,421,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,728.97 : 2,141,928.56 = 2,141,928.56 : x
  2. Step 2: Convert to fraction form
    1,037,728.97/2,141,928.56 = 2,141,928.56/x
  3. Step 3: Cross multiply
    1,037,728.97x = 2,141,928.56 × 2,141,928.56
  4. Step 4: Simplify right side
    1,037,728.97x = 4,587,857,966,853.32
  5. Step 5: Solve for x
    x = 4,587,857,966,853.32/1,037,728.97
  6. Step 6: Final answer
    x = 4,421,056.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.