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Finding the Third Proportional to 269,194,887 and 584,332,663

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Solution

The third proportional to 269,194,887 and 584,332,663 is: 1,268,392,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194,887 : 584,332,663 = 584,332,663 : x
  2. Step 2: Convert to fraction form
    269,194,887/584,332,663 = 584,332,663/x
  3. Step 3: Cross multiply
    269,194,887x = 584,332,663 × 584,332,663
  4. Step 4: Simplify right side
    269,194,887x = 341,444,661,048,671,552
  5. Step 5: Solve for x
    x = 341,444,661,048,671,552/269,194,887
  6. Step 6: Final answer
    x = 1,268,392,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.