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Finding the Third Proportional to 1,947,042 and 4,261,133

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Solution

The third proportional to 1,947,042 and 4,261,133 is: 9,325,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,042 : 4,261,133 = 4,261,133 : x
  2. Step 2: Convert to fraction form
    1,947,042/4,261,133 = 4,261,133/x
  3. Step 3: Cross multiply
    1,947,042x = 4,261,133 × 4,261,133
  4. Step 4: Simplify right side
    1,947,042x = 18,157,254,443,689
  5. Step 5: Solve for x
    x = 18,157,254,443,689/1,947,042
  6. Step 6: Final answer
    x = 9,325,558.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.