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Finding the Third Proportional to 1,421,867 and 2,180,316

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Solution

The third proportional to 1,421,867 and 2,180,316 is: 3,343,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,867 : 2,180,316 = 2,180,316 : x
  2. Step 2: Convert to fraction form
    1,421,867/2,180,316 = 2,180,316/x
  3. Step 3: Cross multiply
    1,421,867x = 2,180,316 × 2,180,316
  4. Step 4: Simplify right side
    1,421,867x = 4,753,777,859,856
  5. Step 5: Solve for x
    x = 4,753,777,859,856/1,421,867
  6. Step 6: Final answer
    x = 3,343,335.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.