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Finding the Third Proportional to 2,050,914 and 4,470,864

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Solution

The third proportional to 2,050,914 and 4,470,864 is: 9,746,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,914 : 4,470,864 = 4,470,864 : x
  2. Step 2: Convert to fraction form
    2,050,914/4,470,864 = 4,470,864/x
  3. Step 3: Cross multiply
    2,050,914x = 4,470,864 × 4,470,864
  4. Step 4: Simplify right side
    2,050,914x = 19,988,624,906,496
  5. Step 5: Solve for x
    x = 19,988,624,906,496/2,050,914
  6. Step 6: Final answer
    x = 9,746,203.35

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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.