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Finding the Third Proportional to 970,652.25 and 2,090,310.75

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Solution

The third proportional to 970,652.25 and 2,090,310.75 is: 4,501,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,652.25 : 2,090,310.75 = 2,090,310.75 : x
  2. Step 2: Convert to fraction form
    970,652.25/2,090,310.75 = 2,090,310.75/x
  3. Step 3: Cross multiply
    970,652.25x = 2,090,310.75 × 2,090,310.75
  4. Step 4: Simplify right side
    970,652.25x = 4,369,399,031,565.56
  5. Step 5: Solve for x
    x = 4,369,399,031,565.56/970,652.25
  6. Step 6: Final answer
    x = 4,501,508.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.