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Finding the Third Proportional to 779,241 and 1,055,965

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Solution

The third proportional to 779,241 and 1,055,965 is: 1,430,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,241 : 1,055,965 = 1,055,965 : x
  2. Step 2: Convert to fraction form
    779,241/1,055,965 = 1,055,965/x
  3. Step 3: Cross multiply
    779,241x = 1,055,965 × 1,055,965
  4. Step 4: Simplify right side
    779,241x = 1,115,062,081,225
  5. Step 5: Solve for x
    x = 1,115,062,081,225/779,241
  6. Step 6: Final answer
    x = 1,430,959.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.