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Finding the Third Proportional to 2,050,915 and 4,470,865

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Solution

The third proportional to 2,050,915 and 4,470,865 is: 9,746,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,915 : 4,470,865 = 4,470,865 : x
  2. Step 2: Convert to fraction form
    2,050,915/4,470,865 = 4,470,865/x
  3. Step 3: Cross multiply
    2,050,915x = 4,470,865 × 4,470,865
  4. Step 4: Simplify right side
    2,050,915x = 19,988,633,848,225
  5. Step 5: Solve for x
    x = 19,988,633,848,225/2,050,915
  6. Step 6: Final answer
    x = 9,746,202.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.