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Finding the Third Proportional to 2,031,707 and 2,709,861

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Solution

The third proportional to 2,031,707 and 2,709,861 is: 3,614,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,707 : 2,709,861 = 2,709,861 : x
  2. Step 2: Convert to fraction form
    2,031,707/2,709,861 = 2,709,861/x
  3. Step 3: Cross multiply
    2,031,707x = 2,709,861 × 2,709,861
  4. Step 4: Simplify right side
    2,031,707x = 7,343,346,639,321
  5. Step 5: Solve for x
    x = 7,343,346,639,321/2,031,707
  6. Step 6: Final answer
    x = 3,614,372.86

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.