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Finding the Third Proportional to 1,223,532.84 and 2,624,212.69

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Solution

The third proportional to 1,223,532.84 and 2,624,212.69 is: 5,628,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,532.84 : 2,624,212.69 = 2,624,212.69 : x
  2. Step 2: Convert to fraction form
    1,223,532.84/2,624,212.69 = 2,624,212.69/x
  3. Step 3: Cross multiply
    1,223,532.84x = 2,624,212.69 × 2,624,212.69
  4. Step 4: Simplify right side
    1,223,532.84x = 6,886,492,229,235.97
  5. Step 5: Solve for x
    x = 6,886,492,229,235.97/1,223,532.84
  6. Step 6: Final answer
    x = 5,628,367.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.