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Finding the Third Proportional to 2,361,740 and 3,759,822

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Solution

The third proportional to 2,361,740 and 3,759,822 is: 5,985,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,740 : 3,759,822 = 3,759,822 : x
  2. Step 2: Convert to fraction form
    2,361,740/3,759,822 = 3,759,822/x
  3. Step 3: Cross multiply
    2,361,740x = 3,759,822 × 3,759,822
  4. Step 4: Simplify right side
    2,361,740x = 14,136,261,471,684
  5. Step 5: Solve for x
    x = 14,136,261,471,684/2,361,740
  6. Step 6: Final answer
    x = 5,985,528.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.