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Finding the Third Proportional to 965,565 and 2,055,870

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Solution

The third proportional to 965,565 and 2,055,870 is: 4,377,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,565 : 2,055,870 = 2,055,870 : x
  2. Step 2: Convert to fraction form
    965,565/2,055,870 = 2,055,870/x
  3. Step 3: Cross multiply
    965,565x = 2,055,870 × 2,055,870
  4. Step 4: Simplify right side
    965,565x = 4,226,601,456,900
  5. Step 5: Solve for x
    x = 4,226,601,456,900/965,565
  6. Step 6: Final answer
    x = 4,377,334.99

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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.