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Finding the Third Proportional to 506,462 and 1,080,720

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Solution

The third proportional to 506,462 and 1,080,720 is: 2,306,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,462 : 1,080,720 = 1,080,720 : x
  2. Step 2: Convert to fraction form
    506,462/1,080,720 = 1,080,720/x
  3. Step 3: Cross multiply
    506,462x = 1,080,720 × 1,080,720
  4. Step 4: Simplify right side
    506,462x = 1,167,955,718,400
  5. Step 5: Solve for x
    x = 1,167,955,718,400/506,462
  6. Step 6: Final answer
    x = 2,306,107.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.