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Finding the Third Proportional to 1,464,226 and 3,208,388

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Solution

The third proportional to 1,464,226 and 3,208,388 is: 7,030,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,226 : 3,208,388 = 3,208,388 : x
  2. Step 2: Convert to fraction form
    1,464,226/3,208,388 = 3,208,388/x
  3. Step 3: Cross multiply
    1,464,226x = 3,208,388 × 3,208,388
  4. Step 4: Simplify right side
    1,464,226x = 10,293,753,558,544
  5. Step 5: Solve for x
    x = 10,293,753,558,544/1,464,226
  6. Step 6: Final answer
    x = 7,030,167.17

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Why These Related Problems?

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