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Finding the Third Proportional to 870,932.25 and 1,881,990.56

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Solution

The third proportional to 870,932.25 and 1,881,990.56 is: 4,066,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,932.25 : 1,881,990.56 = 1,881,990.56 : x
  2. Step 2: Convert to fraction form
    870,932.25/1,881,990.56 = 1,881,990.56/x
  3. Step 3: Cross multiply
    870,932.25x = 1,881,990.56 × 1,881,990.56
  4. Step 4: Simplify right side
    870,932.25x = 3,541,888,477,339.07
  5. Step 5: Solve for x
    x = 3,541,888,477,339.07/870,932.25
  6. Step 6: Final answer
    x = 4,066,778.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.