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Finding the Third Proportional to 2,114,016 and 3,731,520

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Solution

The third proportional to 2,114,016 and 3,731,520 is: 6,586,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,016 : 3,731,520 = 3,731,520 : x
  2. Step 2: Convert to fraction form
    2,114,016/3,731,520 = 3,731,520/x
  3. Step 3: Cross multiply
    2,114,016x = 3,731,520 × 3,731,520
  4. Step 4: Simplify right side
    2,114,016x = 13,924,241,510,400
  5. Step 5: Solve for x
    x = 13,924,241,510,400/2,114,016
  6. Step 6: Final answer
    x = 6,586,630.14

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.