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Finding the Third Proportional to 738,127.69 and 943,189.31

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Solution

The third proportional to 738,127.69 and 943,189.31 is: 1,205,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,127.69 : 943,189.31 = 943,189.31 : x
  2. Step 2: Convert to fraction form
    738,127.69/943,189.31 = 943,189.31/x
  3. Step 3: Cross multiply
    738,127.69x = 943,189.31 × 943,189.31
  4. Step 4: Simplify right side
    738,127.69x = 889,606,079,214.22
  5. Step 5: Solve for x
    x = 889,606,079,214.22/738,127.69
  6. Step 6: Final answer
    x = 1,205,219.77

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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.