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Finding the Third Proportional to 589,115 and 1,283,202

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Solution

The third proportional to 589,115 and 1,283,202 is: 2,795,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,115 : 1,283,202 = 1,283,202 : x
  2. Step 2: Convert to fraction form
    589,115/1,283,202 = 1,283,202/x
  3. Step 3: Cross multiply
    589,115x = 1,283,202 × 1,283,202
  4. Step 4: Simplify right side
    589,115x = 1,646,607,372,804
  5. Step 5: Solve for x
    x = 1,646,607,372,804/589,115
  6. Step 6: Final answer
    x = 2,795,052.53

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Why These Related Problems?

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