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Finding the Third Proportional to 1,825,085.25 and 4,224,954.38

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Solution

The third proportional to 1,825,085.25 and 4,224,954.38 is: 9,780,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,085.25 : 4,224,954.38 = 4,224,954.38 : x
  2. Step 2: Convert to fraction form
    1,825,085.25/4,224,954.38 = 4,224,954.38/x
  3. Step 3: Cross multiply
    1,825,085.25x = 4,224,954.38 × 4,224,954.38
  4. Step 4: Simplify right side
    1,825,085.25x = 17,850,239,470,831.64
  5. Step 5: Solve for x
    x = 17,850,239,470,831.64/1,825,085.25
  6. Step 6: Final answer
    x = 9,780,496.26

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.