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Finding the Third Proportional to 872,322,583 and 1,309,122,483

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Solution

The third proportional to 872,322,583 and 1,309,122,483 is: 1,964,642,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,322,583 : 1,309,122,483 = 1,309,122,483 : x
  2. Step 2: Convert to fraction form
    872,322,583/1,309,122,483 = 1,309,122,483/x
  3. Step 3: Cross multiply
    872,322,583x = 1,309,122,483 × 1,309,122,483
  4. Step 4: Simplify right side
    872,322,583x = 1,713,801,675,496,085,248
  5. Step 5: Solve for x
    x = 1,713,801,675,496,085,248/872,322,583
  6. Step 6: Final answer
    x = 1,964,642,104.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.