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Finding the Third Proportional to 2,270,712 and 3,406,404

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Solution

The third proportional to 2,270,712 and 3,406,404 is: 5,110,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,712 : 3,406,404 = 3,406,404 : x
  2. Step 2: Convert to fraction form
    2,270,712/3,406,404 = 3,406,404/x
  3. Step 3: Cross multiply
    2,270,712x = 3,406,404 × 3,406,404
  4. Step 4: Simplify right side
    2,270,712x = 11,603,588,211,216
  5. Step 5: Solve for x
    x = 11,603,588,211,216/2,270,712
  6. Step 6: Final answer
    x = 5,110,110.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.