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Finding the Third Proportional to 525,824 and 1,133,056

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Solution

The third proportional to 525,824 and 1,133,056 is: 2,441,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,824 : 1,133,056 = 1,133,056 : x
  2. Step 2: Convert to fraction form
    525,824/1,133,056 = 1,133,056/x
  3. Step 3: Cross multiply
    525,824x = 1,133,056 × 1,133,056
  4. Step 4: Simplify right side
    525,824x = 1,283,815,899,136
  5. Step 5: Solve for x
    x = 1,283,815,899,136/525,824
  6. Step 6: Final answer
    x = 2,441,531.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.