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Finding the Third Proportional to 957,949 and 1,596,520

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Solution

The third proportional to 957,949 and 1,596,520 is: 2,660,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,949 : 1,596,520 = 1,596,520 : x
  2. Step 2: Convert to fraction form
    957,949/1,596,520 = 1,596,520/x
  3. Step 3: Cross multiply
    957,949x = 1,596,520 × 1,596,520
  4. Step 4: Simplify right side
    957,949x = 2,548,876,110,400
  5. Step 5: Solve for x
    x = 2,548,876,110,400/957,949
  6. Step 6: Final answer
    x = 2,660,763.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.