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Finding the Third Proportional to 1,973,873 and 2,982,315

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Solution

The third proportional to 1,973,873 and 2,982,315 is: 4,505,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,873 : 2,982,315 = 2,982,315 : x
  2. Step 2: Convert to fraction form
    1,973,873/2,982,315 = 2,982,315/x
  3. Step 3: Cross multiply
    1,973,873x = 2,982,315 × 2,982,315
  4. Step 4: Simplify right side
    1,973,873x = 8,894,202,759,225
  5. Step 5: Solve for x
    x = 8,894,202,759,225/1,973,873
  6. Step 6: Final answer
    x = 4,505,965.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.