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Finding the Third Proportional to 2,070,012 and 3,140,034

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Solution

The third proportional to 2,070,012 and 3,140,034 is: 4,763,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,012 : 3,140,034 = 3,140,034 : x
  2. Step 2: Convert to fraction form
    2,070,012/3,140,034 = 3,140,034/x
  3. Step 3: Cross multiply
    2,070,012x = 3,140,034 × 3,140,034
  4. Step 4: Simplify right side
    2,070,012x = 9,859,813,521,156
  5. Step 5: Solve for x
    x = 9,859,813,521,156/2,070,012
  6. Step 6: Final answer
    x = 4,763,167.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.