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Finding the Third Proportional to 2,281,012 and 3,531,534

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Solution

The third proportional to 2,281,012 and 3,531,534 is: 5,467,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,012 : 3,531,534 = 3,531,534 : x
  2. Step 2: Convert to fraction form
    2,281,012/3,531,534 = 3,531,534/x
  3. Step 3: Cross multiply
    2,281,012x = 3,531,534 × 3,531,534
  4. Step 4: Simplify right side
    2,281,012x = 12,471,732,393,156
  5. Step 5: Solve for x
    x = 12,471,732,393,156/2,281,012
  6. Step 6: Final answer
    x = 5,467,631.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.