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Finding the Third Proportional to 1,342,124 and 2,839,708

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Solution

The third proportional to 1,342,124 and 2,839,708 is: 6,008,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,124 : 2,839,708 = 2,839,708 : x
  2. Step 2: Convert to fraction form
    1,342,124/2,839,708 = 2,839,708/x
  3. Step 3: Cross multiply
    1,342,124x = 2,839,708 × 2,839,708
  4. Step 4: Simplify right side
    1,342,124x = 8,063,941,525,264
  5. Step 5: Solve for x
    x = 8,063,941,525,264/1,342,124
  6. Step 6: Final answer
    x = 6,008,343.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.