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Finding the Third Proportional to 1,598,400 and 3,344,560

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Solution

The third proportional to 1,598,400 and 3,344,560 is: 6,998,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,400 : 3,344,560 = 3,344,560 : x
  2. Step 2: Convert to fraction form
    1,598,400/3,344,560 = 3,344,560/x
  3. Step 3: Cross multiply
    1,598,400x = 3,344,560 × 3,344,560
  4. Step 4: Simplify right side
    1,598,400x = 11,186,081,593,600
  5. Step 5: Solve for x
    x = 11,186,081,593,600/1,598,400
  6. Step 6: Final answer
    x = 6,998,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.