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Finding the Third Proportional to 1,435,856 and 2,223,021

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Solution

The third proportional to 1,435,856 and 2,223,021 is: 3,441,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,856 : 2,223,021 = 2,223,021 : x
  2. Step 2: Convert to fraction form
    1,435,856/2,223,021 = 2,223,021/x
  3. Step 3: Cross multiply
    1,435,856x = 2,223,021 × 2,223,021
  4. Step 4: Simplify right side
    1,435,856x = 4,941,822,366,441
  5. Step 5: Solve for x
    x = 4,941,822,366,441/1,435,856
  6. Step 6: Final answer
    x = 3,441,725.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.