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Finding the Third Proportional to 589,250 and 1,271,740

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Solution

The third proportional to 589,250 and 1,271,740 is: 2,744,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,250 : 1,271,740 = 1,271,740 : x
  2. Step 2: Convert to fraction form
    589,250/1,271,740 = 1,271,740/x
  3. Step 3: Cross multiply
    589,250x = 1,271,740 × 1,271,740
  4. Step 4: Simplify right side
    589,250x = 1,617,322,627,600
  5. Step 5: Solve for x
    x = 1,617,322,627,600/589,250
  6. Step 6: Final answer
    x = 2,744,713.84

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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.