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Finding the Third Proportional to 1,582,036 and 3,276,224

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Solution

The third proportional to 1,582,036 and 3,276,224 is: 6,784,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,036 : 3,276,224 = 3,276,224 : x
  2. Step 2: Convert to fraction form
    1,582,036/3,276,224 = 3,276,224/x
  3. Step 3: Cross multiply
    1,582,036x = 3,276,224 × 3,276,224
  4. Step 4: Simplify right side
    1,582,036x = 10,733,643,698,176
  5. Step 5: Solve for x
    x = 10,733,643,698,176/1,582,036
  6. Step 6: Final answer
    x = 6,784,702.56

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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.