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Finding the Third Proportional to 1,510,945.13 and 3,261,169.50

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Solution

The third proportional to 1,510,945.13 and 3,261,169.50 is: 7,038,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,945.13 : 3,261,169.50 = 3,261,169.50 : x
  2. Step 2: Convert to fraction form
    1,510,945.13/3,261,169.50 = 3,261,169.50/x
  3. Step 3: Cross multiply
    1,510,945.13x = 3,261,169.50 × 3,261,169.50
  4. Step 4: Simplify right side
    1,510,945.13x = 10,635,226,507,730.25
  5. Step 5: Solve for x
    x = 10,635,226,507,730.25/1,510,945.13
  6. Step 6: Final answer
    x = 7,038,790.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.