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Finding the Third Proportional to 656,831.39 and 989,945.16

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Solution

The third proportional to 656,831.39 and 989,945.16 is: 1,491,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,831.39 : 989,945.16 = 989,945.16 : x
  2. Step 2: Convert to fraction form
    656,831.39/989,945.16 = 989,945.16/x
  3. Step 3: Cross multiply
    656,831.39x = 989,945.16 × 989,945.16
  4. Step 4: Simplify right side
    656,831.39x = 979,991,412,382.84
  5. Step 5: Solve for x
    x = 979,991,412,382.84/656,831.39
  6. Step 6: Final answer
    x = 1,491,998.44

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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.