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Finding the Third Proportional to 3,281,643 and 4,967,739

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Solution

The third proportional to 3,281,643 and 4,967,739 is: 7,520,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,643 : 4,967,739 = 4,967,739 : x
  2. Step 2: Convert to fraction form
    3,281,643/4,967,739 = 4,967,739/x
  3. Step 3: Cross multiply
    3,281,643x = 4,967,739 × 4,967,739
  4. Step 4: Simplify right side
    3,281,643x = 24,678,430,772,121
  5. Step 5: Solve for x
    x = 24,678,430,772,121/3,281,643
  6. Step 6: Final answer
    x = 7,520,144.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.