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Finding the Third Proportional to 701,010 and 1,489,524

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Solution

The third proportional to 701,010 and 1,489,524 is: 3,164,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,010 : 1,489,524 = 1,489,524 : x
  2. Step 2: Convert to fraction form
    701,010/1,489,524 = 1,489,524/x
  3. Step 3: Cross multiply
    701,010x = 1,489,524 × 1,489,524
  4. Step 4: Simplify right side
    701,010x = 2,218,681,746,576
  5. Step 5: Solve for x
    x = 2,218,681,746,576/701,010
  6. Step 6: Final answer
    x = 3,164,978.74

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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.