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Finding the Third Proportional to 895,923 and 1,949,310

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Solution

The third proportional to 895,923 and 1,949,310 is: 4,241,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,923 : 1,949,310 = 1,949,310 : x
  2. Step 2: Convert to fraction form
    895,923/1,949,310 = 1,949,310/x
  3. Step 3: Cross multiply
    895,923x = 1,949,310 × 1,949,310
  4. Step 4: Simplify right side
    895,923x = 3,799,809,476,100
  5. Step 5: Solve for x
    x = 3,799,809,476,100/895,923
  6. Step 6: Final answer
    x = 4,241,223.27

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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.