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Finding the Third Proportional to 828,335.50 and 1,811,759

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Solution

The third proportional to 828,335.50 and 1,811,759 is: 3,962,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,335.50 : 1,811,759 = 1,811,759 : x
  2. Step 2: Convert to fraction form
    828,335.50/1,811,759 = 1,811,759/x
  3. Step 3: Cross multiply
    828,335.50x = 1,811,759 × 1,811,759
  4. Step 4: Simplify right side
    828,335.50x = 3,282,470,674,081
  5. Step 5: Solve for x
    x = 3,282,470,674,081/828,335.50
  6. Step 6: Final answer
    x = 3,962,730.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.