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Finding the Third Proportional to 4,425,258 and 6,834,414

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Solution

The third proportional to 4,425,258 and 6,834,414 is: 10,555,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425,258 : 6,834,414 = 6,834,414 : x
  2. Step 2: Convert to fraction form
    4,425,258/6,834,414 = 6,834,414/x
  3. Step 3: Cross multiply
    4,425,258x = 6,834,414 × 6,834,414
  4. Step 4: Simplify right side
    4,425,258x = 46,709,214,723,396
  5. Step 5: Solve for x
    x = 46,709,214,723,396/4,425,258
  6. Step 6: Final answer
    x = 10,555,139.32

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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.