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Finding the Third Proportional to 706,806 and 1,473,228

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Solution

The third proportional to 706,806 and 1,473,228 is: 3,070,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,806 : 1,473,228 = 1,473,228 : x
  2. Step 2: Convert to fraction form
    706,806/1,473,228 = 1,473,228/x
  3. Step 3: Cross multiply
    706,806x = 1,473,228 × 1,473,228
  4. Step 4: Simplify right side
    706,806x = 2,170,400,739,984
  5. Step 5: Solve for x
    x = 2,170,400,739,984/706,806
  6. Step 6: Final answer
    x = 3,070,716.35

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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.