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Finding the Third Proportional to 2,014,534 and 4,327,237

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Solution

The third proportional to 2,014,534 and 4,327,237 is: 9,294,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,534 : 4,327,237 = 4,327,237 : x
  2. Step 2: Convert to fraction form
    2,014,534/4,327,237 = 4,327,237/x
  3. Step 3: Cross multiply
    2,014,534x = 4,327,237 × 4,327,237
  4. Step 4: Simplify right side
    2,014,534x = 18,724,980,054,169
  5. Step 5: Solve for x
    x = 18,724,980,054,169/2,014,534
  6. Step 6: Final answer
    x = 9,294,943.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.