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Finding the Third Proportional to 614,795,936 and 1,317,456,784

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Solution

The third proportional to 614,795,936 and 1,317,456,784 is: 2,823,200,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,795,936 : 1,317,456,784 = 1,317,456,784 : x
  2. Step 2: Convert to fraction form
    614,795,936/1,317,456,784 = 1,317,456,784/x
  3. Step 3: Cross multiply
    614,795,936x = 1,317,456,784 × 1,317,456,784
  4. Step 4: Simplify right side
    614,795,936x = 1,735,692,377,707,622,656
  5. Step 5: Solve for x
    x = 1,735,692,377,707,622,656/614,795,936
  6. Step 6: Final answer
    x = 2,823,200,798.95

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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.