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Finding the Third Proportional to 601,920 and 1,283,904

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Solution

The third proportional to 601,920 and 1,283,904 is: 2,738,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,920 : 1,283,904 = 1,283,904 : x
  2. Step 2: Convert to fraction form
    601,920/1,283,904 = 1,283,904/x
  3. Step 3: Cross multiply
    601,920x = 1,283,904 × 1,283,904
  4. Step 4: Simplify right side
    601,920x = 1,648,409,481,216
  5. Step 5: Solve for x
    x = 1,648,409,481,216/601,920
  6. Step 6: Final answer
    x = 2,738,585.66

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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.