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Finding the Third Proportional to 970,172 and 1,489,172

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Solution

The third proportional to 970,172 and 1,489,172 is: 2,285,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,172 : 1,489,172 = 1,489,172 : x
  2. Step 2: Convert to fraction form
    970,172/1,489,172 = 1,489,172/x
  3. Step 3: Cross multiply
    970,172x = 1,489,172 × 1,489,172
  4. Step 4: Simplify right side
    970,172x = 2,217,633,245,584
  5. Step 5: Solve for x
    x = 2,217,633,245,584/970,172
  6. Step 6: Final answer
    x = 2,285,814.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.