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Finding the Third Proportional to 1,448,362.69 and 2,191,181.63

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Solution

The third proportional to 1,448,362.69 and 2,191,181.63 is: 3,314,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,362.69 : 2,191,181.63 = 2,191,181.63 : x
  2. Step 2: Convert to fraction form
    1,448,362.69/2,191,181.63 = 2,191,181.63/x
  3. Step 3: Cross multiply
    1,448,362.69x = 2,191,181.63 × 2,191,181.63
  4. Step 4: Simplify right side
    1,448,362.69x = 4,801,276,913,737.64
  5. Step 5: Solve for x
    x = 4,801,276,913,737.64/1,448,362.69
  6. Step 6: Final answer
    x = 3,314,968.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.