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Finding the Third Proportional to 992,471 and 2,152,975

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Solution

The third proportional to 992,471 and 2,152,975 is: 4,670,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,471 : 2,152,975 = 2,152,975 : x
  2. Step 2: Convert to fraction form
    992,471/2,152,975 = 2,152,975/x
  3. Step 3: Cross multiply
    992,471x = 2,152,975 × 2,152,975
  4. Step 4: Simplify right side
    992,471x = 4,635,301,350,625
  5. Step 5: Solve for x
    x = 4,635,301,350,625/992,471
  6. Step 6: Final answer
    x = 4,670,465.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.