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Finding the Third Proportional to 489,600 and 1,069,056

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Solution

The third proportional to 489,600 and 1,069,056 is: 2,334,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,600 : 1,069,056 = 1,069,056 : x
  2. Step 2: Convert to fraction form
    489,600/1,069,056 = 1,069,056/x
  3. Step 3: Cross multiply
    489,600x = 1,069,056 × 1,069,056
  4. Step 4: Simplify right side
    489,600x = 1,142,880,731,136
  5. Step 5: Solve for x
    x = 1,142,880,731,136/489,600
  6. Step 6: Final answer
    x = 2,334,315.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.