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Finding the Third Proportional to 1,155,654.84 and 1,796,423.06

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Solution

The third proportional to 1,155,654.84 and 1,796,423.06 is: 2,792,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,654.84 : 1,796,423.06 = 1,796,423.06 : x
  2. Step 2: Convert to fraction form
    1,155,654.84/1,796,423.06 = 1,796,423.06/x
  3. Step 3: Cross multiply
    1,155,654.84x = 1,796,423.06 × 1,796,423.06
  4. Step 4: Simplify right side
    1,155,654.84x = 3,227,135,819,481.88
  5. Step 5: Solve for x
    x = 3,227,135,819,481.88/1,155,654.84
  6. Step 6: Final answer
    x = 2,792,473.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.