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Finding the Third Proportional to 590,257 and 1,304,561

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Solution

The third proportional to 590,257 and 1,304,561 is: 2,883,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,257 : 1,304,561 = 1,304,561 : x
  2. Step 2: Convert to fraction form
    590,257/1,304,561 = 1,304,561/x
  3. Step 3: Cross multiply
    590,257x = 1,304,561 × 1,304,561
  4. Step 4: Simplify right side
    590,257x = 1,701,879,402,721
  5. Step 5: Solve for x
    x = 1,701,879,402,721/590,257
  6. Step 6: Final answer
    x = 2,883,285.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.