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Finding the Third Proportional to 598,086 and 1,306,252

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Solution

The third proportional to 598,086 and 1,306,252 is: 2,852,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,086 : 1,306,252 = 1,306,252 : x
  2. Step 2: Convert to fraction form
    598,086/1,306,252 = 1,306,252/x
  3. Step 3: Cross multiply
    598,086x = 1,306,252 × 1,306,252
  4. Step 4: Simplify right side
    598,086x = 1,706,294,287,504
  5. Step 5: Solve for x
    x = 1,706,294,287,504/598,086
  6. Step 6: Final answer
    x = 2,852,924.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.