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Finding the Third Proportional to 590,304 and 1,266,612

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Solution

The third proportional to 590,304 and 1,266,612 is: 2,717,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,304 : 1,266,612 = 1,266,612 : x
  2. Step 2: Convert to fraction form
    590,304/1,266,612 = 1,266,612/x
  3. Step 3: Cross multiply
    590,304x = 1,266,612 × 1,266,612
  4. Step 4: Simplify right side
    590,304x = 1,604,305,958,544
  5. Step 5: Solve for x
    x = 1,604,305,958,544/590,304
  6. Step 6: Final answer
    x = 2,717,762.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.