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Finding the Third Proportional to 538,587 and 1,147,158

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Solution

The third proportional to 538,587 and 1,147,158 is: 2,443,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,587 : 1,147,158 = 1,147,158 : x
  2. Step 2: Convert to fraction form
    538,587/1,147,158 = 1,147,158/x
  3. Step 3: Cross multiply
    538,587x = 1,147,158 × 1,147,158
  4. Step 4: Simplify right side
    538,587x = 1,315,971,476,964
  5. Step 5: Solve for x
    x = 1,315,971,476,964/538,587
  6. Step 6: Final answer
    x = 2,443,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.