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Finding the Third Proportional to 1,145,486.81 and 2,262,061.69

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Solution

The third proportional to 1,145,486.81 and 2,262,061.69 is: 4,467,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,486.81 : 2,262,061.69 = 2,262,061.69 : x
  2. Step 2: Convert to fraction form
    1,145,486.81/2,262,061.69 = 2,262,061.69/x
  3. Step 3: Cross multiply
    1,145,486.81x = 2,262,061.69 × 2,262,061.69
  4. Step 4: Simplify right side
    1,145,486.81x = 5,116,923,078,055.35
  5. Step 5: Solve for x
    x = 5,116,923,078,055.35/1,145,486.81
  6. Step 6: Final answer
    x = 4,467,029.23

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.