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Finding the Third Proportional to 992,384 and 1,484,609

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Solution

The third proportional to 992,384 and 1,484,609 is: 2,220,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,384 : 1,484,609 = 1,484,609 : x
  2. Step 2: Convert to fraction form
    992,384/1,484,609 = 1,484,609/x
  3. Step 3: Cross multiply
    992,384x = 1,484,609 × 1,484,609
  4. Step 4: Simplify right side
    992,384x = 2,204,063,882,881
  5. Step 5: Solve for x
    x = 2,204,063,882,881/992,384
  6. Step 6: Final answer
    x = 2,220,978.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.