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Finding the Third Proportional to 570,322,814 and 1,222,498,468

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Solution

The third proportional to 570,322,814 and 1,222,498,468 is: 2,620,450,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,322,814 : 1,222,498,468 = 1,222,498,468 : x
  2. Step 2: Convert to fraction form
    570,322,814/1,222,498,468 = 1,222,498,468/x
  3. Step 3: Cross multiply
    570,322,814x = 1,222,498,468 × 1,222,498,468
  4. Step 4: Simplify right side
    570,322,814x = 1,494,502,504,262,347,008
  5. Step 5: Solve for x
    x = 1,494,502,504,262,347,008/570,322,814
  6. Step 6: Final answer
    x = 2,620,450,151.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.