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Finding the Third Proportional to 1,407,800 and 3,081,664

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Solution

The third proportional to 1,407,800 and 3,081,664 is: 6,745,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,800 : 3,081,664 = 3,081,664 : x
  2. Step 2: Convert to fraction form
    1,407,800/3,081,664 = 3,081,664/x
  3. Step 3: Cross multiply
    1,407,800x = 3,081,664 × 3,081,664
  4. Step 4: Simplify right side
    1,407,800x = 9,496,653,008,896
  5. Step 5: Solve for x
    x = 9,496,653,008,896/1,407,800
  6. Step 6: Final answer
    x = 6,745,740.17

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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.