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Finding the Third Proportional to 598,320,960 and 894,183,768

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Solution

The third proportional to 598,320,960 and 894,183,768 is: 1,336,347,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,320,960 : 894,183,768 = 894,183,768 : x
  2. Step 2: Convert to fraction form
    598,320,960/894,183,768 = 894,183,768/x
  3. Step 3: Cross multiply
    598,320,960x = 894,183,768 × 894,183,768
  4. Step 4: Simplify right side
    598,320,960x = 799,564,610,954,677,760
  5. Step 5: Solve for x
    x = 799,564,610,954,677,760/598,320,960
  6. Step 6: Final answer
    x = 1,336,347,319.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.