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Finding the Third Proportional to 1,462,306.13 and 3,155,814.75

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Solution

The third proportional to 1,462,306.13 and 3,155,814.75 is: 6,810,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,306.13 : 3,155,814.75 = 3,155,814.75 : x
  2. Step 2: Convert to fraction form
    1,462,306.13/3,155,814.75 = 3,155,814.75/x
  3. Step 3: Cross multiply
    1,462,306.13x = 3,155,814.75 × 3,155,814.75
  4. Step 4: Simplify right side
    1,462,306.13x = 9,959,166,736,317.56
  5. Step 5: Solve for x
    x = 9,959,166,736,317.56/1,462,306.13
  6. Step 6: Final answer
    x = 6,810,589.50

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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.