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Finding the Third Proportional to 701,701 and 1,521,407

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Solution

The third proportional to 701,701 and 1,521,407 is: 3,298,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,701 : 1,521,407 = 1,521,407 : x
  2. Step 2: Convert to fraction form
    701,701/1,521,407 = 1,521,407/x
  3. Step 3: Cross multiply
    701,701x = 1,521,407 × 1,521,407
  4. Step 4: Simplify right side
    701,701x = 2,314,679,259,649
  5. Step 5: Solve for x
    x = 2,314,679,259,649/701,701
  6. Step 6: Final answer
    x = 3,298,668.89

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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.