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Finding the Third Proportional to 597,372,840 and 937,100,872

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Solution

The third proportional to 597,372,840 and 937,100,872 is: 1,470,033,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,372,840 : 937,100,872 = 937,100,872 : x
  2. Step 2: Convert to fraction form
    597,372,840/937,100,872 = 937,100,872/x
  3. Step 3: Cross multiply
    597,372,840x = 937,100,872 × 937,100,872
  4. Step 4: Simplify right side
    597,372,840x = 878,158,044,303,160,320
  5. Step 5: Solve for x
    x = 878,158,044,303,160,320/597,372,840
  6. Step 6: Final answer
    x = 1,470,033,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.