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Finding the Third Proportional to 538,587 and 1,166,931

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Solution

The third proportional to 538,587 and 1,166,931 is: 2,528,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,587 : 1,166,931 = 1,166,931 : x
  2. Step 2: Convert to fraction form
    538,587/1,166,931 = 1,166,931/x
  3. Step 3: Cross multiply
    538,587x = 1,166,931 × 1,166,931
  4. Step 4: Simplify right side
    538,587x = 1,361,727,958,761
  5. Step 5: Solve for x
    x = 1,361,727,958,761/538,587
  6. Step 6: Final answer
    x = 2,528,334.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.