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Finding the Third Proportional to 1,364,233.50 and 2,273,585.06

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Solution

The third proportional to 1,364,233.50 and 2,273,585.06 is: 3,789,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,233.50 : 2,273,585.06 = 2,273,585.06 : x
  2. Step 2: Convert to fraction form
    1,364,233.50/2,273,585.06 = 2,273,585.06/x
  3. Step 3: Cross multiply
    1,364,233.50x = 2,273,585.06 × 2,273,585.06
  4. Step 4: Simplify right side
    1,364,233.50x = 5,169,189,036,423.13
  5. Step 5: Solve for x
    x = 5,169,189,036,423.13/1,364,233.50
  6. Step 6: Final answer
    x = 3,789,079.39

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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.