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Finding the Third Proportional to 961,724 and 2,052,164

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Solution

The third proportional to 961,724 and 2,052,164 is: 4,378,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,724 : 2,052,164 = 2,052,164 : x
  2. Step 2: Convert to fraction form
    961,724/2,052,164 = 2,052,164/x
  3. Step 3: Cross multiply
    961,724x = 2,052,164 × 2,052,164
  4. Step 4: Simplify right side
    961,724x = 4,211,377,082,896
  5. Step 5: Solve for x
    x = 4,211,377,082,896/961,724
  6. Step 6: Final answer
    x = 4,378,987.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.