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Finding the Third Proportional to 555,414 and 1,195,212

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Solution

The third proportional to 555,414 and 1,195,212 is: 2,572,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,414 : 1,195,212 = 1,195,212 : x
  2. Step 2: Convert to fraction form
    555,414/1,195,212 = 1,195,212/x
  3. Step 3: Cross multiply
    555,414x = 1,195,212 × 1,195,212
  4. Step 4: Simplify right side
    555,414x = 1,428,531,724,944
  5. Step 5: Solve for x
    x = 1,428,531,724,944/555,414
  6. Step 6: Final answer
    x = 2,572,012.45

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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.