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Finding the Third Proportional to 2,113,659 and 4,711,406

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Solution

The third proportional to 2,113,659 and 4,711,406 is: 10,501,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,659 : 4,711,406 = 4,711,406 : x
  2. Step 2: Convert to fraction form
    2,113,659/4,711,406 = 4,711,406/x
  3. Step 3: Cross multiply
    2,113,659x = 4,711,406 × 4,711,406
  4. Step 4: Simplify right side
    2,113,659x = 22,197,346,496,836
  5. Step 5: Solve for x
    x = 22,197,346,496,836/2,113,659
  6. Step 6: Final answer
    x = 10,501,857.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.