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Finding the Third Proportional to 738,127 and 943,162

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Solution

The third proportional to 738,127 and 943,162 is: 1,205,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,127 : 943,162 = 943,162 : x
  2. Step 2: Convert to fraction form
    738,127/943,162 = 943,162/x
  3. Step 3: Cross multiply
    738,127x = 943,162 × 943,162
  4. Step 4: Simplify right side
    738,127x = 889,554,558,244
  5. Step 5: Solve for x
    x = 889,554,558,244/738,127
  6. Step 6: Final answer
    x = 1,205,151.09

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.