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Finding the Third Proportional to 910,078 and 1,981,570

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Solution

The third proportional to 910,078 and 1,981,570 is: 4,314,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,078 : 1,981,570 = 1,981,570 : x
  2. Step 2: Convert to fraction form
    910,078/1,981,570 = 1,981,570/x
  3. Step 3: Cross multiply
    910,078x = 1,981,570 × 1,981,570
  4. Step 4: Simplify right side
    910,078x = 3,926,619,664,900
  5. Step 5: Solve for x
    x = 3,926,619,664,900/910,078
  6. Step 6: Final answer
    x = 4,314,596.84

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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.