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Finding the Third Proportional to 970,010.44 and 1,468,433.81

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Solution

The third proportional to 970,010.44 and 1,468,433.81 is: 2,222,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,010.44 : 1,468,433.81 = 1,468,433.81 : x
  2. Step 2: Convert to fraction form
    970,010.44/1,468,433.81 = 1,468,433.81/x
  3. Step 3: Cross multiply
    970,010.44x = 1,468,433.81 × 1,468,433.81
  4. Step 4: Simplify right side
    970,010.44x = 2,156,297,861,693.29
  5. Step 5: Solve for x
    x = 2,156,297,861,693.29/970,010.44
  6. Step 6: Final answer
    x = 2,222,963.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.