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Finding the Third Proportional to 824,952 and 1,749,912

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Solution

The third proportional to 824,952 and 1,749,912 is: 3,711,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,952 : 1,749,912 = 1,749,912 : x
  2. Step 2: Convert to fraction form
    824,952/1,749,912 = 1,749,912/x
  3. Step 3: Cross multiply
    824,952x = 1,749,912 × 1,749,912
  4. Step 4: Simplify right side
    824,952x = 3,062,192,007,744
  5. Step 5: Solve for x
    x = 3,062,192,007,744/824,952
  6. Step 6: Final answer
    x = 3,711,963.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.