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Finding the Third Proportional to 595,648 and 1,274,400

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Solution

The third proportional to 595,648 and 1,274,400 is: 2,726,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,648 : 1,274,400 = 1,274,400 : x
  2. Step 2: Convert to fraction form
    595,648/1,274,400 = 1,274,400/x
  3. Step 3: Cross multiply
    595,648x = 1,274,400 × 1,274,400
  4. Step 4: Simplify right side
    595,648x = 1,624,095,360,000
  5. Step 5: Solve for x
    x = 1,624,095,360,000/595,648
  6. Step 6: Final answer
    x = 2,726,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.