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Finding the Third Proportional to 1,582,034 and 3,276,220

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Solution

The third proportional to 1,582,034 and 3,276,220 is: 6,784,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,034 : 3,276,220 = 3,276,220 : x
  2. Step 2: Convert to fraction form
    1,582,034/3,276,220 = 3,276,220/x
  3. Step 3: Cross multiply
    1,582,034x = 3,276,220 × 3,276,220
  4. Step 4: Simplify right side
    1,582,034x = 10,733,617,488,400
  5. Step 5: Solve for x
    x = 10,733,617,488,400/1,582,034
  6. Step 6: Final answer
    x = 6,784,694.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.