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Finding the Third Proportional to 1,648,566 and 3,474,252

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Solution

The third proportional to 1,648,566 and 3,474,252 is: 7,321,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,566 : 3,474,252 = 3,474,252 : x
  2. Step 2: Convert to fraction form
    1,648,566/3,474,252 = 3,474,252/x
  3. Step 3: Cross multiply
    1,648,566x = 3,474,252 × 3,474,252
  4. Step 4: Simplify right side
    1,648,566x = 12,070,426,959,504
  5. Step 5: Solve for x
    x = 12,070,426,959,504/1,648,566
  6. Step 6: Final answer
    x = 7,321,773.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.