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Finding the Third Proportional to 2,255,400 and 4,697,412

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Solution

The third proportional to 2,255,400 and 4,697,412 is: 9,783,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,400 : 4,697,412 = 4,697,412 : x
  2. Step 2: Convert to fraction form
    2,255,400/4,697,412 = 4,697,412/x
  3. Step 3: Cross multiply
    2,255,400x = 4,697,412 × 4,697,412
  4. Step 4: Simplify right side
    2,255,400x = 22,065,679,497,744
  5. Step 5: Solve for x
    x = 22,065,679,497,744/2,255,400
  6. Step 6: Final answer
    x = 9,783,488.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.