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Finding the Third Proportional to 954,561,538 and 1,472,700,997

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Solution

The third proportional to 954,561,538 and 1,472,700,997 is: 2,272,088,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,561,538 : 1,472,700,997 = 1,472,700,997 : x
  2. Step 2: Convert to fraction form
    954,561,538/1,472,700,997 = 1,472,700,997/x
  3. Step 3: Cross multiply
    954,561,538x = 1,472,700,997 × 1,472,700,997
  4. Step 4: Simplify right side
    954,561,538x = 2,168,848,226,564,794,112
  5. Step 5: Solve for x
    x = 2,168,848,226,564,794,112/954,561,538
  6. Step 6: Final answer
    x = 2,272,088,430.37

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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.