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Finding the Third Proportional to 589,065 and 1,271,172

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Solution

The third proportional to 589,065 and 1,271,172 is: 2,743,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,065 : 1,271,172 = 1,271,172 : x
  2. Step 2: Convert to fraction form
    589,065/1,271,172 = 1,271,172/x
  3. Step 3: Cross multiply
    589,065x = 1,271,172 × 1,271,172
  4. Step 4: Simplify right side
    589,065x = 1,615,878,253,584
  5. Step 5: Solve for x
    x = 1,615,878,253,584/589,065
  6. Step 6: Final answer
    x = 2,743,123.85

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Why These Related Problems?

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