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Finding the Third Proportional to 720,162 and 1,567,284

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Solution

The third proportional to 720,162 and 1,567,284 is: 3,410,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,162 : 1,567,284 = 1,567,284 : x
  2. Step 2: Convert to fraction form
    720,162/1,567,284 = 1,567,284/x
  3. Step 3: Cross multiply
    720,162x = 1,567,284 × 1,567,284
  4. Step 4: Simplify right side
    720,162x = 2,456,379,136,656
  5. Step 5: Solve for x
    x = 2,456,379,136,656/720,162
  6. Step 6: Final answer
    x = 3,410,870.24

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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.