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Finding the Third Proportional to 610,876 and 1,263,656

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Solution

The third proportional to 610,876 and 1,263,656 is: 2,613,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,876 : 1,263,656 = 1,263,656 : x
  2. Step 2: Convert to fraction form
    610,876/1,263,656 = 1,263,656/x
  3. Step 3: Cross multiply
    610,876x = 1,263,656 × 1,263,656
  4. Step 4: Simplify right side
    610,876x = 1,596,826,486,336
  5. Step 5: Solve for x
    x = 1,596,826,486,336/610,876
  6. Step 6: Final answer
    x = 2,613,994.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.