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Finding the Third Proportional to 1,407,796 and 3,081,656

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Solution

The third proportional to 1,407,796 and 3,081,656 is: 6,745,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,796 : 3,081,656 = 3,081,656 : x
  2. Step 2: Convert to fraction form
    1,407,796/3,081,656 = 3,081,656/x
  3. Step 3: Cross multiply
    1,407,796x = 3,081,656 × 3,081,656
  4. Step 4: Simplify right side
    1,407,796x = 9,496,603,702,336
  5. Step 5: Solve for x
    x = 9,496,603,702,336/1,407,796
  6. Step 6: Final answer
    x = 6,745,724.31

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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.