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Finding the Third Proportional to 474,195 and 1,036,911

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Solution

The third proportional to 474,195 and 1,036,911 is: 2,267,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,195 : 1,036,911 = 1,036,911 : x
  2. Step 2: Convert to fraction form
    474,195/1,036,911 = 1,036,911/x
  3. Step 3: Cross multiply
    474,195x = 1,036,911 × 1,036,911
  4. Step 4: Simplify right side
    474,195x = 1,075,184,421,921
  5. Step 5: Solve for x
    x = 1,075,184,421,921/474,195
  6. Step 6: Final answer
    x = 2,267,388.78

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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.