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Finding the Third Proportional to 2,106,901.13 and 3,260,437.31

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Solution

The third proportional to 2,106,901.13 and 3,260,437.31 is: 5,045,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,901.13 : 3,260,437.31 = 3,260,437.31 : x
  2. Step 2: Convert to fraction form
    2,106,901.13/3,260,437.31 = 3,260,437.31/x
  3. Step 3: Cross multiply
    2,106,901.13x = 3,260,437.31 × 3,260,437.31
  4. Step 4: Simplify right side
    2,106,901.13x = 10,630,451,468,742.22
  5. Step 5: Solve for x
    x = 10,630,451,468,742.22/2,106,901.13
  6. Step 6: Final answer
    x = 5,045,538.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.