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Finding the Third Proportional to 2,461,736 and 3,612,729

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Solution

The third proportional to 2,461,736 and 3,612,729 is: 5,301,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461,736 : 3,612,729 = 3,612,729 : x
  2. Step 2: Convert to fraction form
    2,461,736/3,612,729 = 3,612,729/x
  3. Step 3: Cross multiply
    2,461,736x = 3,612,729 × 3,612,729
  4. Step 4: Simplify right side
    2,461,736x = 13,051,810,827,441
  5. Step 5: Solve for x
    x = 13,051,810,827,441/2,461,736
  6. Step 6: Final answer
    x = 5,301,872.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.