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Finding the Third Proportional to 2,065,302 and 4,473,747

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Solution

The third proportional to 2,065,302 and 4,473,747 is: 9,690,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,302 : 4,473,747 = 4,473,747 : x
  2. Step 2: Convert to fraction form
    2,065,302/4,473,747 = 4,473,747/x
  3. Step 3: Cross multiply
    2,065,302x = 4,473,747 × 4,473,747
  4. Step 4: Simplify right side
    2,065,302x = 20,014,412,220,009
  5. Step 5: Solve for x
    x = 20,014,412,220,009/2,065,302
  6. Step 6: Final answer
    x = 9,690,792.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.