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Finding the Third Proportional to 1,500,981.47 and 3,229,923.09

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Solution

The third proportional to 1,500,981.47 and 3,229,923.09 is: 6,950,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,981.47 : 3,229,923.09 = 3,229,923.09 : x
  2. Step 2: Convert to fraction form
    1,500,981.47/3,229,923.09 = 3,229,923.09/x
  3. Step 3: Cross multiply
    1,500,981.47x = 3,229,923.09 × 3,229,923.09
  4. Step 4: Simplify right side
    1,500,981.47x = 10,432,403,191,539.57
  5. Step 5: Solve for x
    x = 10,432,403,191,539.57/1,500,981.47
  6. Step 6: Final answer
    x = 6,950,387.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.