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Finding the Third Proportional to 482,919.47 and 1,048,871.53

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Solution

The third proportional to 482,919.47 and 1,048,871.53 is: 2,278,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,919.47 : 1,048,871.53 = 1,048,871.53 : x
  2. Step 2: Convert to fraction form
    482,919.47/1,048,871.53 = 1,048,871.53/x
  3. Step 3: Cross multiply
    482,919.47x = 1,048,871.53 × 1,048,871.53
  4. Step 4: Simplify right side
    482,919.47x = 1,100,131,489,066.72
  5. Step 5: Solve for x
    x = 1,100,131,489,066.72/482,919.47
  6. Step 6: Final answer
    x = 2,278,084.77

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Why These Related Problems?

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