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Finding the Third Proportional to 482,559,921 and 1,041,647,283

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Solution

The third proportional to 482,559,921 and 1,041,647,283 is: 2,248,485,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,559,921 : 1,041,647,283 = 1,041,647,283 : x
  2. Step 2: Convert to fraction form
    482,559,921/1,041,647,283 = 1,041,647,283/x
  3. Step 3: Cross multiply
    482,559,921x = 1,041,647,283 × 1,041,647,283
  4. Step 4: Simplify right side
    482,559,921x = 1,085,029,062,181,282,048
  5. Step 5: Solve for x
    x = 1,085,029,062,181,282,048/482,559,921
  6. Step 6: Final answer
    x = 2,248,485,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.