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Finding the Third Proportional to 897,195 and 1,961,574

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Solution

The third proportional to 897,195 and 1,961,574 is: 4,288,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,195 : 1,961,574 = 1,961,574 : x
  2. Step 2: Convert to fraction form
    897,195/1,961,574 = 1,961,574/x
  3. Step 3: Cross multiply
    897,195x = 1,961,574 × 1,961,574
  4. Step 4: Simplify right side
    897,195x = 3,847,772,557,476
  5. Step 5: Solve for x
    x = 3,847,772,557,476/897,195
  6. Step 6: Final answer
    x = 4,288,669.19

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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.