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Finding the Third Proportional to 2,065,191 and 4,473,609

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Solution

The third proportional to 2,065,191 and 4,473,609 is: 9,690,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,191 : 4,473,609 = 4,473,609 : x
  2. Step 2: Convert to fraction form
    2,065,191/4,473,609 = 4,473,609/x
  3. Step 3: Cross multiply
    2,065,191x = 4,473,609 × 4,473,609
  4. Step 4: Simplify right side
    2,065,191x = 20,013,177,484,881
  5. Step 5: Solve for x
    x = 20,013,177,484,881/2,065,191
  6. Step 6: Final answer
    x = 9,690,715.04

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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.