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Finding the Third Proportional to 967,579,519 and 1,494,143,783

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Solution

The third proportional to 967,579,519 and 1,494,143,783 is: 2,307,268,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,579,519 : 1,494,143,783 = 1,494,143,783 : x
  2. Step 2: Convert to fraction form
    967,579,519/1,494,143,783 = 1,494,143,783/x
  3. Step 3: Cross multiply
    967,579,519x = 1,494,143,783 × 1,494,143,783
  4. Step 4: Simplify right side
    967,579,519x = 2,232,465,644,277,551,104
  5. Step 5: Solve for x
    x = 2,232,465,644,277,551,104/967,579,519
  6. Step 6: Final answer
    x = 2,307,268,395.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.