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Finding the Third Proportional to 983,772 and 2,149,800

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Solution

The third proportional to 983,772 and 2,149,800 is: 4,697,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,772 : 2,149,800 = 2,149,800 : x
  2. Step 2: Convert to fraction form
    983,772/2,149,800 = 2,149,800/x
  3. Step 3: Cross multiply
    983,772x = 2,149,800 × 2,149,800
  4. Step 4: Simplify right side
    983,772x = 4,621,640,040,000
  5. Step 5: Solve for x
    x = 4,621,640,040,000/983,772
  6. Step 6: Final answer
    x = 4,697,877.19

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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.