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Finding the Third Proportional to 1,040,970 and 2,409,663

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Solution

The third proportional to 1,040,970 and 2,409,663 is: 5,577,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,970 : 2,409,663 = 2,409,663 : x
  2. Step 2: Convert to fraction form
    1,040,970/2,409,663 = 2,409,663/x
  3. Step 3: Cross multiply
    1,040,970x = 2,409,663 × 2,409,663
  4. Step 4: Simplify right side
    1,040,970x = 5,806,475,773,569
  5. Step 5: Solve for x
    x = 5,806,475,773,569/1,040,970
  6. Step 6: Final answer
    x = 5,577,947.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.