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Finding the Third Proportional to 587,048 and 1,286,224

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Solution

The third proportional to 587,048 and 1,286,224 is: 2,818,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,048 : 1,286,224 = 1,286,224 : x
  2. Step 2: Convert to fraction form
    587,048/1,286,224 = 1,286,224/x
  3. Step 3: Cross multiply
    587,048x = 1,286,224 × 1,286,224
  4. Step 4: Simplify right side
    587,048x = 1,654,372,178,176
  5. Step 5: Solve for x
    x = 1,654,372,178,176/587,048
  6. Step 6: Final answer
    x = 2,818,120.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.