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Finding the Third Proportional to 458,388 and 1,007,136

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Solution

The third proportional to 458,388 and 1,007,136 is: 2,212,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,388 : 1,007,136 = 1,007,136 : x
  2. Step 2: Convert to fraction form
    458,388/1,007,136 = 1,007,136/x
  3. Step 3: Cross multiply
    458,388x = 1,007,136 × 1,007,136
  4. Step 4: Simplify right side
    458,388x = 1,014,322,922,496
  5. Step 5: Solve for x
    x = 1,014,322,922,496/458,388
  6. Step 6: Final answer
    x = 2,212,804.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.