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Finding the Third Proportional to 1,282,778 and 2,784,148

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Solution

The third proportional to 1,282,778 and 2,784,148 is: 6,042,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,778 : 2,784,148 = 2,784,148 : x
  2. Step 2: Convert to fraction form
    1,282,778/2,784,148 = 2,784,148/x
  3. Step 3: Cross multiply
    1,282,778x = 2,784,148 × 2,784,148
  4. Step 4: Simplify right side
    1,282,778x = 7,751,480,085,904
  5. Step 5: Solve for x
    x = 7,751,480,085,904/1,282,778
  6. Step 6: Final answer
    x = 6,042,729.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.