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Finding the Third Proportional to 1,463,838 and 2,216,170

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Solution

The third proportional to 1,463,838 and 2,216,170 is: 3,355,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,838 : 2,216,170 = 2,216,170 : x
  2. Step 2: Convert to fraction form
    1,463,838/2,216,170 = 2,216,170/x
  3. Step 3: Cross multiply
    1,463,838x = 2,216,170 × 2,216,170
  4. Step 4: Simplify right side
    1,463,838x = 4,911,409,468,900
  5. Step 5: Solve for x
    x = 4,911,409,468,900/1,463,838
  6. Step 6: Final answer
    x = 3,355,159.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.