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Finding the Third Proportional to 2,241,887 and 3,145,813

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Solution

The third proportional to 2,241,887 and 3,145,813 is: 4,414,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,887 : 3,145,813 = 3,145,813 : x
  2. Step 2: Convert to fraction form
    2,241,887/3,145,813 = 3,145,813/x
  3. Step 3: Cross multiply
    2,241,887x = 3,145,813 × 3,145,813
  4. Step 4: Simplify right side
    2,241,887x = 9,896,139,430,969
  5. Step 5: Solve for x
    x = 9,896,139,430,969/2,241,887
  6. Step 6: Final answer
    x = 4,414,200.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.