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Finding the Third Proportional to 474,020,982 and 1,017,933,456

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Solution

The third proportional to 474,020,982 and 1,017,933,456 is: 2,185,954,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,020,982 : 1,017,933,456 = 1,017,933,456 : x
  2. Step 2: Convert to fraction form
    474,020,982/1,017,933,456 = 1,017,933,456/x
  3. Step 3: Cross multiply
    474,020,982x = 1,017,933,456 × 1,017,933,456
  4. Step 4: Simplify right side
    474,020,982x = 1,036,188,520,844,103,936
  5. Step 5: Solve for x
    x = 1,036,188,520,844,103,936/474,020,982
  6. Step 6: Final answer
    x = 2,185,954,968.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.