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Finding the Third Proportional to 970,620.25 and 1,501,356.38

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Solution

The third proportional to 970,620.25 and 1,501,356.38 is: 2,322,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,620.25 : 1,501,356.38 = 1,501,356.38 : x
  2. Step 2: Convert to fraction form
    970,620.25/1,501,356.38 = 1,501,356.38/x
  3. Step 3: Cross multiply
    970,620.25x = 1,501,356.38 × 1,501,356.38
  4. Step 4: Simplify right side
    970,620.25x = 2,254,070,964,753.14
  5. Step 5: Solve for x
    x = 2,254,070,964,753.14/970,620.25
  6. Step 6: Final answer
    x = 2,322,299.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.