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Finding the Third Proportional to 706,836 and 1,473,276

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Solution

The third proportional to 706,836 and 1,473,276 is: 3,070,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,836 : 1,473,276 = 1,473,276 : x
  2. Step 2: Convert to fraction form
    706,836/1,473,276 = 1,473,276/x
  3. Step 3: Cross multiply
    706,836x = 1,473,276 × 1,473,276
  4. Step 4: Simplify right side
    706,836x = 2,170,542,172,176
  5. Step 5: Solve for x
    x = 2,170,542,172,176/706,836
  6. Step 6: Final answer
    x = 3,070,786.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.