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Finding the Third Proportional to 2,323,140 and 3,519,729

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Solution

The third proportional to 2,323,140 and 3,519,729 is: 5,332,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,140 : 3,519,729 = 3,519,729 : x
  2. Step 2: Convert to fraction form
    2,323,140/3,519,729 = 3,519,729/x
  3. Step 3: Cross multiply
    2,323,140x = 3,519,729 × 3,519,729
  4. Step 4: Simplify right side
    2,323,140x = 12,388,492,233,441
  5. Step 5: Solve for x
    x = 12,388,492,233,441/2,323,140
  6. Step 6: Final answer
    x = 5,332,649.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.