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Finding the Third Proportional to 1,465,084 and 3,167,032

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Solution

The third proportional to 1,465,084 and 3,167,032 is: 6,846,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,084 : 3,167,032 = 3,167,032 : x
  2. Step 2: Convert to fraction form
    1,465,084/3,167,032 = 3,167,032/x
  3. Step 3: Cross multiply
    1,465,084x = 3,167,032 × 3,167,032
  4. Step 4: Simplify right side
    1,465,084x = 10,030,091,689,024
  5. Step 5: Solve for x
    x = 10,030,091,689,024/1,465,084
  6. Step 6: Final answer
    x = 6,846,086.43

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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.