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Finding the Third Proportional to 1,303,840 and 2,887,616

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Solution

The third proportional to 1,303,840 and 2,887,616 is: 6,395,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,840 : 2,887,616 = 2,887,616 : x
  2. Step 2: Convert to fraction form
    1,303,840/2,887,616 = 2,887,616/x
  3. Step 3: Cross multiply
    1,303,840x = 2,887,616 × 2,887,616
  4. Step 4: Simplify right side
    1,303,840x = 8,338,326,163,456
  5. Step 5: Solve for x
    x = 8,338,326,163,456/1,303,840
  6. Step 6: Final answer
    x = 6,395,206.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.