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Finding the Third Proportional to 1,441,424 and 2,261,136

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Solution

The third proportional to 1,441,424 and 2,261,136 is: 3,547,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,424 : 2,261,136 = 2,261,136 : x
  2. Step 2: Convert to fraction form
    1,441,424/2,261,136 = 2,261,136/x
  3. Step 3: Cross multiply
    1,441,424x = 2,261,136 × 2,261,136
  4. Step 4: Simplify right side
    1,441,424x = 5,112,736,010,496
  5. Step 5: Solve for x
    x = 5,112,736,010,496/1,441,424
  6. Step 6: Final answer
    x = 3,547,003.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.