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Finding the Third Proportional to 1,905,840 and 4,189,542

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Solution

The third proportional to 1,905,840 and 4,189,542 is: 9,209,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,840 : 4,189,542 = 4,189,542 : x
  2. Step 2: Convert to fraction form
    1,905,840/4,189,542 = 4,189,542/x
  3. Step 3: Cross multiply
    1,905,840x = 4,189,542 × 4,189,542
  4. Step 4: Simplify right side
    1,905,840x = 17,552,262,169,764
  5. Step 5: Solve for x
    x = 17,552,262,169,764/1,905,840
  6. Step 6: Final answer
    x = 9,209,724.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.