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Finding the Third Proportional to 2,572,742 and 3,782,031

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Solution

The third proportional to 2,572,742 and 3,782,031 is: 5,559,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,742 : 3,782,031 = 3,782,031 : x
  2. Step 2: Convert to fraction form
    2,572,742/3,782,031 = 3,782,031/x
  3. Step 3: Cross multiply
    2,572,742x = 3,782,031 × 3,782,031
  4. Step 4: Simplify right side
    2,572,742x = 14,303,758,484,961
  5. Step 5: Solve for x
    x = 14,303,758,484,961/2,572,742
  6. Step 6: Final answer
    x = 5,559,732.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.