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Finding the Third Proportional to 593,822 and 1,208,695

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Solution

The third proportional to 593,822 and 1,208,695 is: 2,460,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,822 : 1,208,695 = 1,208,695 : x
  2. Step 2: Convert to fraction form
    593,822/1,208,695 = 1,208,695/x
  3. Step 3: Cross multiply
    593,822x = 1,208,695 × 1,208,695
  4. Step 4: Simplify right side
    593,822x = 1,460,943,603,025
  5. Step 5: Solve for x
    x = 1,460,943,603,025/593,822
  6. Step 6: Final answer
    x = 2,460,238.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.