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Finding the Third Proportional to 2,102,077 and 4,573,210

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Solution

The third proportional to 2,102,077 and 4,573,210 is: 9,949,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,077 : 4,573,210 = 4,573,210 : x
  2. Step 2: Convert to fraction form
    2,102,077/4,573,210 = 4,573,210/x
  3. Step 3: Cross multiply
    2,102,077x = 4,573,210 × 4,573,210
  4. Step 4: Simplify right side
    2,102,077x = 20,914,249,704,100
  5. Step 5: Solve for x
    x = 20,914,249,704,100/2,102,077
  6. Step 6: Final answer
    x = 9,949,326.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.