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Finding the Third Proportional to 589,000 and 1,272,012

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Solution

The third proportional to 589,000 and 1,272,012 is: 2,747,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,000 : 1,272,012 = 1,272,012 : x
  2. Step 2: Convert to fraction form
    589,000/1,272,012 = 1,272,012/x
  3. Step 3: Cross multiply
    589,000x = 1,272,012 × 1,272,012
  4. Step 4: Simplify right side
    589,000x = 1,618,014,528,144
  5. Step 5: Solve for x
    x = 1,618,014,528,144/589,000
  6. Step 6: Final answer
    x = 2,747,053.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.