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Finding the Third Proportional to 970,148.25 and 2,040,852.38

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Solution

The third proportional to 970,148.25 and 2,040,852.38 is: 4,293,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,148.25 : 2,040,852.38 = 2,040,852.38 : x
  2. Step 2: Convert to fraction form
    970,148.25/2,040,852.38 = 2,040,852.38/x
  3. Step 3: Cross multiply
    970,148.25x = 2,040,852.38 × 2,040,852.38
  4. Step 4: Simplify right side
    970,148.25x = 4,165,078,416,543.14
  5. Step 5: Solve for x
    x = 4,165,078,416,543.14/970,148.25
  6. Step 6: Final answer
    x = 4,293,239.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.