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Finding the Third Proportional to 767,414 and 1,201,215

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Solution

The third proportional to 767,414 and 1,201,215 is: 1,880,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,414 : 1,201,215 = 1,201,215 : x
  2. Step 2: Convert to fraction form
    767,414/1,201,215 = 1,201,215/x
  3. Step 3: Cross multiply
    767,414x = 1,201,215 × 1,201,215
  4. Step 4: Simplify right side
    767,414x = 1,442,917,476,225
  5. Step 5: Solve for x
    x = 1,442,917,476,225/767,414
  6. Step 6: Final answer
    x = 1,880,233.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.