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Finding the Third Proportional to 659,161,640 and 997,226,112

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Solution

The third proportional to 659,161,640 and 997,226,112 is: 1,508,673,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,161,640 : 997,226,112 = 997,226,112 : x
  2. Step 2: Convert to fraction form
    659,161,640/997,226,112 = 997,226,112/x
  3. Step 3: Cross multiply
    659,161,640x = 997,226,112 × 997,226,112
  4. Step 4: Simplify right side
    659,161,640x = 994,459,918,454,636,544
  5. Step 5: Solve for x
    x = 994,459,918,454,636,544/659,161,640
  6. Step 6: Final answer
    x = 1,508,673,833.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.