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Finding the Third Proportional to 1,674,096 and 3,616,464

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Solution

The third proportional to 1,674,096 and 3,616,464 is: 7,812,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,096 : 3,616,464 = 3,616,464 : x
  2. Step 2: Convert to fraction form
    1,674,096/3,616,464 = 3,616,464/x
  3. Step 3: Cross multiply
    1,674,096x = 3,616,464 × 3,616,464
  4. Step 4: Simplify right side
    1,674,096x = 13,078,811,863,296
  5. Step 5: Solve for x
    x = 13,078,811,863,296/1,674,096
  6. Step 6: Final answer
    x = 7,812,462.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.