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Finding the Third Proportional to 943,591,884 and 1,407,205,104

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Solution

The third proportional to 943,591,884 and 1,407,205,104 is: 2,098,604,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,591,884 : 1,407,205,104 = 1,407,205,104 : x
  2. Step 2: Convert to fraction form
    943,591,884/1,407,205,104 = 1,407,205,104/x
  3. Step 3: Cross multiply
    943,591,884x = 1,407,205,104 × 1,407,205,104
  4. Step 4: Simplify right side
    943,591,884x = 1,980,226,204,723,650,816
  5. Step 5: Solve for x
    x = 1,980,226,204,723,650,816/943,591,884
  6. Step 6: Final answer
    x = 2,098,604,532.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.