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Finding the Third Proportional to 4,281,849 and 6,262,002

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Solution

The third proportional to 4,281,849 and 6,262,002 is: 9,157,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,849 : 6,262,002 = 6,262,002 : x
  2. Step 2: Convert to fraction form
    4,281,849/6,262,002 = 6,262,002/x
  3. Step 3: Cross multiply
    4,281,849x = 6,262,002 × 6,262,002
  4. Step 4: Simplify right side
    4,281,849x = 39,212,669,048,004
  5. Step 5: Solve for x
    x = 39,212,669,048,004/4,281,849
  6. Step 6: Final answer
    x = 9,157,882.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.