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Finding the Third Proportional to 2,214,718 and 3,416,518

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Solution

The third proportional to 2,214,718 and 3,416,518 is: 5,270,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,718 : 3,416,518 = 3,416,518 : x
  2. Step 2: Convert to fraction form
    2,214,718/3,416,518 = 3,416,518/x
  3. Step 3: Cross multiply
    2,214,718x = 3,416,518 × 3,416,518
  4. Step 4: Simplify right side
    2,214,718x = 11,672,595,244,324
  5. Step 5: Solve for x
    x = 11,672,595,244,324/2,214,718
  6. Step 6: Final answer
    x = 5,270,465.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.