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Finding the Third Proportional to 448,724,178 and 689,295,279

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Solution

The third proportional to 448,724,178 and 689,295,279 is: 1,058,841,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,178 : 689,295,279 = 689,295,279 : x
  2. Step 2: Convert to fraction form
    448,724,178/689,295,279 = 689,295,279/x
  3. Step 3: Cross multiply
    448,724,178x = 689,295,279 × 689,295,279
  4. Step 4: Simplify right side
    448,724,178x = 475,127,981,651,687,872
  5. Step 5: Solve for x
    x = 475,127,981,651,687,872/448,724,178
  6. Step 6: Final answer
    x = 1,058,841,945.56

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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.