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Finding the Third Proportional to 612,925 and 1,346,743

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Solution

The third proportional to 612,925 and 1,346,743 is: 2,959,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,925 : 1,346,743 = 1,346,743 : x
  2. Step 2: Convert to fraction form
    612,925/1,346,743 = 1,346,743/x
  3. Step 3: Cross multiply
    612,925x = 1,346,743 × 1,346,743
  4. Step 4: Simplify right side
    612,925x = 1,813,716,708,049
  5. Step 5: Solve for x
    x = 1,813,716,708,049/612,925
  6. Step 6: Final answer
    x = 2,959,116.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.