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Finding the Third Proportional to 992,946 and 2,143,311

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Solution

The third proportional to 992,946 and 2,143,311 is: 4,626,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,946 : 2,143,311 = 2,143,311 : x
  2. Step 2: Convert to fraction form
    992,946/2,143,311 = 2,143,311/x
  3. Step 3: Cross multiply
    992,946x = 2,143,311 × 2,143,311
  4. Step 4: Simplify right side
    992,946x = 4,593,782,042,721
  5. Step 5: Solve for x
    x = 4,593,782,042,721/992,946
  6. Step 6: Final answer
    x = 4,626,416.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.