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Finding the Third Proportional to 1,364,229.84 and 2,273,579.51

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Solution

The third proportional to 1,364,229.84 and 2,273,579.51 is: 3,789,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,229.84 : 2,273,579.51 = 2,273,579.51 : x
  2. Step 2: Convert to fraction form
    1,364,229.84/2,273,579.51 = 2,273,579.51/x
  3. Step 3: Cross multiply
    1,364,229.84x = 2,273,579.51 × 2,273,579.51
  4. Step 4: Simplify right side
    1,364,229.84x = 5,169,163,778,344.93
  5. Step 5: Solve for x
    x = 5,169,163,778,344.93/1,364,229.84
  6. Step 6: Final answer
    x = 3,789,071.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.