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Finding the Third Proportional to 605,742,796 and 1,317,617,972

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Solution

The third proportional to 605,742,796 and 1,317,617,972 is: 2,866,096,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,796 : 1,317,617,972 = 1,317,617,972 : x
  2. Step 2: Convert to fraction form
    605,742,796/1,317,617,972 = 1,317,617,972/x
  3. Step 3: Cross multiply
    605,742,796x = 1,317,617,972 × 1,317,617,972
  4. Step 4: Simplify right side
    605,742,796x = 1,736,117,120,137,392,896
  5. Step 5: Solve for x
    x = 1,736,117,120,137,392,896/605,742,796
  6. Step 6: Final answer
    x = 2,866,096,190.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.