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Finding the Third Proportional to 1,582,045 and 3,276,243

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Solution

The third proportional to 1,582,045 and 3,276,243 is: 6,784,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,045 : 3,276,243 = 3,276,243 : x
  2. Step 2: Convert to fraction form
    1,582,045/3,276,243 = 3,276,243/x
  3. Step 3: Cross multiply
    1,582,045x = 3,276,243 × 3,276,243
  4. Step 4: Simplify right side
    1,582,045x = 10,733,768,195,049
  5. Step 5: Solve for x
    x = 10,733,768,195,049/1,582,045
  6. Step 6: Final answer
    x = 6,784,742.66

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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.