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Finding the Third Proportional to 590,800 and 1,265,600

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Solution

The third proportional to 590,800 and 1,265,600 is: 2,711,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,800 : 1,265,600 = 1,265,600 : x
  2. Step 2: Convert to fraction form
    590,800/1,265,600 = 1,265,600/x
  3. Step 3: Cross multiply
    590,800x = 1,265,600 × 1,265,600
  4. Step 4: Simplify right side
    590,800x = 1,601,743,360,000
  5. Step 5: Solve for x
    x = 1,601,743,360,000/590,800
  6. Step 6: Final answer
    x = 2,711,143.13

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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.