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Finding the Third Proportional to 2,913,858 and 6,182,766

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Solution

The third proportional to 2,913,858 and 6,182,766 is: 13,118,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,858 : 6,182,766 = 6,182,766 : x
  2. Step 2: Convert to fraction form
    2,913,858/6,182,766 = 6,182,766/x
  3. Step 3: Cross multiply
    2,913,858x = 6,182,766 × 6,182,766
  4. Step 4: Simplify right side
    2,913,858x = 38,226,595,410,756
  5. Step 5: Solve for x
    x = 38,226,595,410,756/2,913,858
  6. Step 6: Final answer
    x = 13,118,894.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.