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Finding the Third Proportional to 2,140,976.81 and 4,616,174.81

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Solution

The third proportional to 2,140,976.81 and 4,616,174.81 is: 9,952,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,976.81 : 4,616,174.81 = 4,616,174.81 : x
  2. Step 2: Convert to fraction form
    2,140,976.81/4,616,174.81 = 4,616,174.81/x
  3. Step 3: Cross multiply
    2,140,976.81x = 4,616,174.81 × 4,616,174.81
  4. Step 4: Simplify right side
    2,140,976.81x = 21,309,069,899,559.41
  5. Step 5: Solve for x
    x = 21,309,069,899,559.41/2,140,976.81
  6. Step 6: Final answer
    x = 9,952,966.22

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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.