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Finding the Third Proportional to 1,037,355.61 and 2,422,956.80

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Solution

The third proportional to 1,037,355.61 and 2,422,956.80 is: 5,659,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,355.61 : 2,422,956.80 = 2,422,956.80 : x
  2. Step 2: Convert to fraction form
    1,037,355.61/2,422,956.80 = 2,422,956.80/x
  3. Step 3: Cross multiply
    1,037,355.61x = 2,422,956.80 × 2,422,956.80
  4. Step 4: Simplify right side
    1,037,355.61x = 5,870,719,639,522.76
  5. Step 5: Solve for x
    x = 5,870,719,639,522.76/1,037,355.61
  6. Step 6: Final answer
    x = 5,659,312.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.