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Finding the Third Proportional to 673,086,264.75 and 1,033,942,914

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Solution

The third proportional to 673,086,264.75 and 1,033,942,914 is: 1,588,262,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,264.75 : 1,033,942,914 = 1,033,942,914 : x
  2. Step 2: Convert to fraction form
    673,086,264.75/1,033,942,914 = 1,033,942,914/x
  3. Step 3: Cross multiply
    673,086,264.75x = 1,033,942,914 × 1,033,942,914
  4. Step 4: Simplify right side
    673,086,264.75x = 1,069,037,949,410,811,392
  5. Step 5: Solve for x
    x = 1,069,037,949,410,811,392/673,086,264.75
  6. Step 6: Final answer
    x = 1,588,262,909.82

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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.