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Finding the Third Proportional to 992,412 and 2,152,858

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Solution

The third proportional to 992,412 and 2,152,858 is: 4,670,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,412 : 2,152,858 = 2,152,858 : x
  2. Step 2: Convert to fraction form
    992,412/2,152,858 = 2,152,858/x
  3. Step 3: Cross multiply
    992,412x = 2,152,858 × 2,152,858
  4. Step 4: Simplify right side
    992,412x = 4,634,797,568,164
  5. Step 5: Solve for x
    x = 4,634,797,568,164/992,412
  6. Step 6: Final answer
    x = 4,670,235.31

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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.