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Finding the Third Proportional to 589,365,399 and 905,896,848

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Solution

The third proportional to 589,365,399 and 905,896,848 is: 1,392,428,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,365,399 : 905,896,848 = 905,896,848 : x
  2. Step 2: Convert to fraction form
    589,365,399/905,896,848 = 905,896,848/x
  3. Step 3: Cross multiply
    589,365,399x = 905,896,848 × 905,896,848
  4. Step 4: Simplify right side
    589,365,399x = 820,649,099,216,335,104
  5. Step 5: Solve for x
    x = 820,649,099,216,335,104/589,365,399
  6. Step 6: Final answer
    x = 1,392,428,365.51

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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.