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Finding the Third Proportional to 1,425,598 and 2,969,140.25

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Solution

The third proportional to 1,425,598 and 2,969,140.25 is: 6,183,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,598 : 2,969,140.25 = 2,969,140.25 : x
  2. Step 2: Convert to fraction form
    1,425,598/2,969,140.25 = 2,969,140.25/x
  3. Step 3: Cross multiply
    1,425,598x = 2,969,140.25 × 2,969,140.25
  4. Step 4: Simplify right side
    1,425,598x = 8,815,793,824,170.06
  5. Step 5: Solve for x
    x = 8,815,793,824,170.06/1,425,598
  6. Step 6: Final answer
    x = 6,183,926.90

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Why These Related Problems?

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