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Finding the Third Proportional to 1,386,172.50 and 3,033,653.50

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Solution

The third proportional to 1,386,172.50 and 3,033,653.50 is: 6,639,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,172.50 : 3,033,653.50 = 3,033,653.50 : x
  2. Step 2: Convert to fraction form
    1,386,172.50/3,033,653.50 = 3,033,653.50/x
  3. Step 3: Cross multiply
    1,386,172.50x = 3,033,653.50 × 3,033,653.50
  4. Step 4: Simplify right side
    1,386,172.50x = 9,203,053,558,062.25
  5. Step 5: Solve for x
    x = 9,203,053,558,062.25/1,386,172.50
  6. Step 6: Final answer
    x = 6,639,183.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.