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Finding the Third Proportional to 622,944 and 1,340,656

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Solution

The third proportional to 622,944 and 1,340,656 is: 2,885,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,944 : 1,340,656 = 1,340,656 : x
  2. Step 2: Convert to fraction form
    622,944/1,340,656 = 1,340,656/x
  3. Step 3: Cross multiply
    622,944x = 1,340,656 × 1,340,656
  4. Step 4: Simplify right side
    622,944x = 1,797,358,510,336
  5. Step 5: Solve for x
    x = 1,797,358,510,336/622,944
  6. Step 6: Final answer
    x = 2,885,264.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.