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Finding the Third Proportional to 737,111 and 1,576,693

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Solution

The third proportional to 737,111 and 1,576,693 is: 3,372,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,111 : 1,576,693 = 1,576,693 : x
  2. Step 2: Convert to fraction form
    737,111/1,576,693 = 1,576,693/x
  3. Step 3: Cross multiply
    737,111x = 1,576,693 × 1,576,693
  4. Step 4: Simplify right side
    737,111x = 2,485,960,816,249
  5. Step 5: Solve for x
    x = 2,485,960,816,249/737,111
  6. Step 6: Final answer
    x = 3,372,573.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.