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Finding the Third Proportional to 590,812 and 1,288,556

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Solution

The third proportional to 590,812 and 1,288,556 is: 2,810,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,812 : 1,288,556 = 1,288,556 : x
  2. Step 2: Convert to fraction form
    590,812/1,288,556 = 1,288,556/x
  3. Step 3: Cross multiply
    590,812x = 1,288,556 × 1,288,556
  4. Step 4: Simplify right side
    590,812x = 1,660,376,565,136
  5. Step 5: Solve for x
    x = 1,660,376,565,136/590,812
  6. Step 6: Final answer
    x = 2,810,329.79

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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.