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Finding the Third Proportional to 1,464,808 and 3,208,895

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Solution

The third proportional to 1,464,808 and 3,208,895 is: 7,029,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,808 : 3,208,895 = 3,208,895 : x
  2. Step 2: Convert to fraction form
    1,464,808/3,208,895 = 3,208,895/x
  3. Step 3: Cross multiply
    1,464,808x = 3,208,895 × 3,208,895
  4. Step 4: Simplify right side
    1,464,808x = 10,297,007,121,025
  5. Step 5: Solve for x
    x = 10,297,007,121,025/1,464,808
  6. Step 6: Final answer
    x = 7,029,595.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.