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Finding the Third Proportional to 3,306,710 and 4,680,291

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Solution

The third proportional to 3,306,710 and 4,680,291 is: 6,624,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,710 : 4,680,291 = 4,680,291 : x
  2. Step 2: Convert to fraction form
    3,306,710/4,680,291 = 4,680,291/x
  3. Step 3: Cross multiply
    3,306,710x = 4,680,291 × 4,680,291
  4. Step 4: Simplify right side
    3,306,710x = 21,905,123,844,681
  5. Step 5: Solve for x
    x = 21,905,123,844,681/3,306,710
  6. Step 6: Final answer
    x = 6,624,446.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.