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Finding the Third Proportional to 870,968 and 1,368,660

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Solution

The third proportional to 870,968 and 1,368,660 is: 2,150,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,968 : 1,368,660 = 1,368,660 : x
  2. Step 2: Convert to fraction form
    870,968/1,368,660 = 1,368,660/x
  3. Step 3: Cross multiply
    870,968x = 1,368,660 × 1,368,660
  4. Step 4: Simplify right side
    870,968x = 1,873,230,195,600
  5. Step 5: Solve for x
    x = 1,873,230,195,600/870,968
  6. Step 6: Final answer
    x = 2,150,745.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.