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Finding the Third Proportional to 3,659,474 and 5,688,507

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Solution

The third proportional to 3,659,474 and 5,688,507 is: 8,842,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,474 : 5,688,507 = 5,688,507 : x
  2. Step 2: Convert to fraction form
    3,659,474/5,688,507 = 5,688,507/x
  3. Step 3: Cross multiply
    3,659,474x = 5,688,507 × 5,688,507
  4. Step 4: Simplify right side
    3,659,474x = 32,359,111,889,049
  5. Step 5: Solve for x
    x = 32,359,111,889,049/3,659,474
  6. Step 6: Final answer
    x = 8,842,558.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.