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Finding the Third Proportional to 418,515,448 and 689,129,457

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Solution

The third proportional to 418,515,448 and 689,129,457 is: 1,134,723,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,515,448 : 689,129,457 = 689,129,457 : x
  2. Step 2: Convert to fraction form
    418,515,448/689,129,457 = 689,129,457/x
  3. Step 3: Cross multiply
    418,515,448x = 689,129,457 × 689,129,457
  4. Step 4: Simplify right side
    418,515,448x = 474,899,408,505,114,880
  5. Step 5: Solve for x
    x = 474,899,408,505,114,880/418,515,448
  6. Step 6: Final answer
    x = 1,134,723,725.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.