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Finding the Third Proportional to 891,962.82 and 1,358,857.42

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Solution

The third proportional to 891,962.82 and 1,358,857.42 is: 2,070,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,962.82 : 1,358,857.42 = 1,358,857.42 : x
  2. Step 2: Convert to fraction form
    891,962.82/1,358,857.42 = 1,358,857.42/x
  3. Step 3: Cross multiply
    891,962.82x = 1,358,857.42 × 1,358,857.42
  4. Step 4: Simplify right side
    891,962.82x = 1,846,493,498,292.74
  5. Step 5: Solve for x
    x = 1,846,493,498,292.74/891,962.82
  6. Step 6: Final answer
    x = 2,070,146.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.