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Finding the Third Proportional to 966,210 and 2,098,908

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Solution

The third proportional to 966,210 and 2,098,908 is: 4,559,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,210 : 2,098,908 = 2,098,908 : x
  2. Step 2: Convert to fraction form
    966,210/2,098,908 = 2,098,908/x
  3. Step 3: Cross multiply
    966,210x = 2,098,908 × 2,098,908
  4. Step 4: Simplify right side
    966,210x = 4,405,414,792,464
  5. Step 5: Solve for x
    x = 4,405,414,792,464/966,210
  6. Step 6: Final answer
    x = 4,559,479.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.