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Finding the Third Proportional to 983,769 and 2,149,794

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Solution

The third proportional to 983,769 and 2,149,794 is: 4,697,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,769 : 2,149,794 = 2,149,794 : x
  2. Step 2: Convert to fraction form
    983,769/2,149,794 = 2,149,794/x
  3. Step 3: Cross multiply
    983,769x = 2,149,794 × 2,149,794
  4. Step 4: Simplify right side
    983,769x = 4,621,614,242,436
  5. Step 5: Solve for x
    x = 4,621,614,242,436/983,769
  6. Step 6: Final answer
    x = 4,697,865.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.