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Finding the Third Proportional to 720,144 and 1,569,888

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Solution

The third proportional to 720,144 and 1,569,888 is: 3,422,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,144 : 1,569,888 = 1,569,888 : x
  2. Step 2: Convert to fraction form
    720,144/1,569,888 = 1,569,888/x
  3. Step 3: Cross multiply
    720,144x = 1,569,888 × 1,569,888
  4. Step 4: Simplify right side
    720,144x = 2,464,548,332,544
  5. Step 5: Solve for x
    x = 2,464,548,332,544/720,144
  6. Step 6: Final answer
    x = 3,422,299.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.