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Finding the Third Proportional to 1,425,854 and 2,969,656

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Solution

The third proportional to 1,425,854 and 2,969,656 is: 6,184,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,854 : 2,969,656 = 2,969,656 : x
  2. Step 2: Convert to fraction form
    1,425,854/2,969,656 = 2,969,656/x
  3. Step 3: Cross multiply
    1,425,854x = 2,969,656 × 2,969,656
  4. Step 4: Simplify right side
    1,425,854x = 8,818,856,758,336
  5. Step 5: Solve for x
    x = 8,818,856,758,336/1,425,854
  6. Step 6: Final answer
    x = 6,184,964.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.