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Finding the Third Proportional to 1,159,022.25 and 1,772,982

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Solution

The third proportional to 1,159,022.25 and 1,772,982 is: 2,712,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,022.25 : 1,772,982 = 1,772,982 : x
  2. Step 2: Convert to fraction form
    1,159,022.25/1,772,982 = 1,772,982/x
  3. Step 3: Cross multiply
    1,159,022.25x = 1,772,982 × 1,772,982
  4. Step 4: Simplify right side
    1,159,022.25x = 3,143,465,172,324
  5. Step 5: Solve for x
    x = 3,143,465,172,324/1,159,022.25
  6. Step 6: Final answer
    x = 2,712,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.