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Finding the Third Proportional to 1,709,320 and 3,647,466

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Solution

The third proportional to 1,709,320 and 3,647,466 is: 7,783,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,320 : 3,647,466 = 3,647,466 : x
  2. Step 2: Convert to fraction form
    1,709,320/3,647,466 = 3,647,466/x
  3. Step 3: Cross multiply
    1,709,320x = 3,647,466 × 3,647,466
  4. Step 4: Simplify right side
    1,709,320x = 13,304,008,221,156
  5. Step 5: Solve for x
    x = 13,304,008,221,156/1,709,320
  6. Step 6: Final answer
    x = 7,783,216.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.