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Finding the Third Proportional to 1,969,876 and 4,313,423

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Solution

The third proportional to 1,969,876 and 4,313,423 is: 9,445,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,876 : 4,313,423 = 4,313,423 : x
  2. Step 2: Convert to fraction form
    1,969,876/4,313,423 = 4,313,423/x
  3. Step 3: Cross multiply
    1,969,876x = 4,313,423 × 4,313,423
  4. Step 4: Simplify right side
    1,969,876x = 18,605,617,976,929
  5. Step 5: Solve for x
    x = 18,605,617,976,929/1,969,876
  6. Step 6: Final answer
    x = 9,445,070.64

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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.