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Finding the Third Proportional to 597,372,842 and 937,100,875

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Solution

The third proportional to 597,372,842 and 937,100,875 is: 1,470,033,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,372,842 : 937,100,875 = 937,100,875 : x
  2. Step 2: Convert to fraction form
    597,372,842/937,100,875 = 937,100,875/x
  3. Step 3: Cross multiply
    597,372,842x = 937,100,875 × 937,100,875
  4. Step 4: Simplify right side
    597,372,842x = 878,158,049,925,765,632
  5. Step 5: Solve for x
    x = 878,158,049,925,765,632/597,372,842
  6. Step 6: Final answer
    x = 1,470,033,433.37

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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.