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Finding the Third Proportional to 3,834,744 and 6,104,784

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Solution

The third proportional to 3,834,744 and 6,104,784 is: 9,718,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,744 : 6,104,784 = 6,104,784 : x
  2. Step 2: Convert to fraction form
    3,834,744/6,104,784 = 6,104,784/x
  3. Step 3: Cross multiply
    3,834,744x = 6,104,784 × 6,104,784
  4. Step 4: Simplify right side
    3,834,744x = 37,268,387,686,656
  5. Step 5: Solve for x
    x = 37,268,387,686,656/3,834,744
  6. Step 6: Final answer
    x = 9,718,611.64

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Why These Related Problems?

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