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Finding the Third Proportional to 593,820 and 1,208,691

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Solution

The third proportional to 593,820 and 1,208,691 is: 2,460,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,820 : 1,208,691 = 1,208,691 : x
  2. Step 2: Convert to fraction form
    593,820/1,208,691 = 1,208,691/x
  3. Step 3: Cross multiply
    593,820x = 1,208,691 × 1,208,691
  4. Step 4: Simplify right side
    593,820x = 1,460,933,933,481
  5. Step 5: Solve for x
    x = 1,460,933,933,481/593,820
  6. Step 6: Final answer
    x = 2,460,230.26

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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.