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Finding the Third Proportional to 1,028,284 and 1,642,056

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Solution

The third proportional to 1,028,284 and 1,642,056 is: 2,622,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,284 : 1,642,056 = 1,642,056 : x
  2. Step 2: Convert to fraction form
    1,028,284/1,642,056 = 1,642,056/x
  3. Step 3: Cross multiply
    1,028,284x = 1,642,056 × 1,642,056
  4. Step 4: Simplify right side
    1,028,284x = 2,696,347,907,136
  5. Step 5: Solve for x
    x = 2,696,347,907,136/1,028,284
  6. Step 6: Final answer
    x = 2,622,182.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.