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Finding the Third Proportional to 914,800 and 2,006,262

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Solution

The third proportional to 914,800 and 2,006,262 is: 4,399,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,800 : 2,006,262 = 2,006,262 : x
  2. Step 2: Convert to fraction form
    914,800/2,006,262 = 2,006,262/x
  3. Step 3: Cross multiply
    914,800x = 2,006,262 × 2,006,262
  4. Step 4: Simplify right side
    914,800x = 4,025,087,212,644
  5. Step 5: Solve for x
    x = 4,025,087,212,644/914,800
  6. Step 6: Final answer
    x = 4,399,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.