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Finding the Third Proportional to 2,184,470 and 3,276,705

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Solution

The third proportional to 2,184,470 and 3,276,705 is: 4,915,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,470 : 3,276,705 = 3,276,705 : x
  2. Step 2: Convert to fraction form
    2,184,470/3,276,705 = 3,276,705/x
  3. Step 3: Cross multiply
    2,184,470x = 3,276,705 × 3,276,705
  4. Step 4: Simplify right side
    2,184,470x = 10,736,795,657,025
  5. Step 5: Solve for x
    x = 10,736,795,657,025/2,184,470
  6. Step 6: Final answer
    x = 4,915,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.