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Finding the Third Proportional to 667,417 and 1,033,130

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Solution

The third proportional to 667,417 and 1,033,130 is: 1,599,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,417 : 1,033,130 = 1,033,130 : x
  2. Step 2: Convert to fraction form
    667,417/1,033,130 = 1,033,130/x
  3. Step 3: Cross multiply
    667,417x = 1,033,130 × 1,033,130
  4. Step 4: Simplify right side
    667,417x = 1,067,357,596,900
  5. Step 5: Solve for x
    x = 1,067,357,596,900/667,417
  6. Step 6: Final answer
    x = 1,599,236.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.