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Finding the Third Proportional to 857,633.50 and 1,127,771

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Solution

The third proportional to 857,633.50 and 1,127,771 is: 1,482,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,633.50 : 1,127,771 = 1,127,771 : x
  2. Step 2: Convert to fraction form
    857,633.50/1,127,771 = 1,127,771/x
  3. Step 3: Cross multiply
    857,633.50x = 1,127,771 × 1,127,771
  4. Step 4: Simplify right side
    857,633.50x = 1,271,867,428,441
  5. Step 5: Solve for x
    x = 1,271,867,428,441/857,633.50
  6. Step 6: Final answer
    x = 1,482,996.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.