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Finding the Third Proportional to 1,895,402 and 4,474,400

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Solution

The third proportional to 1,895,402 and 4,474,400 is: 10,562,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895,402 : 4,474,400 = 4,474,400 : x
  2. Step 2: Convert to fraction form
    1,895,402/4,474,400 = 4,474,400/x
  3. Step 3: Cross multiply
    1,895,402x = 4,474,400 × 4,474,400
  4. Step 4: Simplify right side
    1,895,402x = 20,020,255,360,000
  5. Step 5: Solve for x
    x = 20,020,255,360,000/1,895,402
  6. Step 6: Final answer
    x = 10,562,537.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.