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Finding the Third Proportional to 622,442 and 880,814

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Solution

The third proportional to 622,442 and 880,814 is: 1,246,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,442 : 880,814 = 880,814 : x
  2. Step 2: Convert to fraction form
    622,442/880,814 = 880,814/x
  3. Step 3: Cross multiply
    622,442x = 880,814 × 880,814
  4. Step 4: Simplify right side
    622,442x = 775,833,302,596
  5. Step 5: Solve for x
    x = 775,833,302,596/622,442
  6. Step 6: Final answer
    x = 1,246,434.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.