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Finding the Third Proportional to 478,734,896 and 1,015,116,848

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Solution

The third proportional to 478,734,896 and 1,015,116,848 is: 2,152,469,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,734,896 : 1,015,116,848 = 1,015,116,848 : x
  2. Step 2: Convert to fraction form
    478,734,896/1,015,116,848 = 1,015,116,848/x
  3. Step 3: Cross multiply
    478,734,896x = 1,015,116,848 × 1,015,116,848
  4. Step 4: Simplify right side
    478,734,896x = 1,030,462,215,093,455,104
  5. Step 5: Solve for x
    x = 1,030,462,215,093,455,104/478,734,896
  6. Step 6: Final answer
    x = 2,152,469,401.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.