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Finding the Third Proportional to 448,613 and 984,415

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Solution

The third proportional to 448,613 and 984,415 is: 2,160,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,613 : 984,415 = 984,415 : x
  2. Step 2: Convert to fraction form
    448,613/984,415 = 984,415/x
  3. Step 3: Cross multiply
    448,613x = 984,415 × 984,415
  4. Step 4: Simplify right side
    448,613x = 969,072,892,225
  5. Step 5: Solve for x
    x = 969,072,892,225/448,613
  6. Step 6: Final answer
    x = 2,160,153.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.