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Finding the Third Proportional to 1,580,274 and 3,475,620

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Solution

The third proportional to 1,580,274 and 3,475,620 is: 7,644,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,274 : 3,475,620 = 3,475,620 : x
  2. Step 2: Convert to fraction form
    1,580,274/3,475,620 = 3,475,620/x
  3. Step 3: Cross multiply
    1,580,274x = 3,475,620 × 3,475,620
  4. Step 4: Simplify right side
    1,580,274x = 12,079,934,384,400
  5. Step 5: Solve for x
    x = 12,079,934,384,400/1,580,274
  6. Step 6: Final answer
    x = 7,644,202.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.