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Finding the Third Proportional to 960,448 and 2,069,864

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Solution

The third proportional to 960,448 and 2,069,864 is: 4,460,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,448 : 2,069,864 = 2,069,864 : x
  2. Step 2: Convert to fraction form
    960,448/2,069,864 = 2,069,864/x
  3. Step 3: Cross multiply
    960,448x = 2,069,864 × 2,069,864
  4. Step 4: Simplify right side
    960,448x = 4,284,336,978,496
  5. Step 5: Solve for x
    x = 4,284,336,978,496/960,448
  6. Step 6: Final answer
    x = 4,460,769.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.