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Finding the Third Proportional to 1,033,357.50 and 1,509,212.25

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Solution

The third proportional to 1,033,357.50 and 1,509,212.25 is: 2,204,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,357.50 : 1,509,212.25 = 1,509,212.25 : x
  2. Step 2: Convert to fraction form
    1,033,357.50/1,509,212.25 = 1,509,212.25/x
  3. Step 3: Cross multiply
    1,033,357.50x = 1,509,212.25 × 1,509,212.25
  4. Step 4: Simplify right side
    1,033,357.50x = 2,277,721,615,550.06
  5. Step 5: Solve for x
    x = 2,277,721,615,550.06/1,033,357.50
  6. Step 6: Final answer
    x = 2,204,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.