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Finding the Third Proportional to 482,913.14 and 1,048,860.14

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Solution

The third proportional to 482,913.14 and 1,048,860.14 is: 2,278,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,913.14 : 1,048,860.14 = 1,048,860.14 : x
  2. Step 2: Convert to fraction form
    482,913.14/1,048,860.14 = 1,048,860.14/x
  3. Step 3: Cross multiply
    482,913.14x = 1,048,860.14 × 1,048,860.14
  4. Step 4: Simplify right side
    482,913.14x = 1,100,107,594,591.89
  5. Step 5: Solve for x
    x = 1,100,107,594,591.89/482,913.14
  6. Step 6: Final answer
    x = 2,278,065.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.