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Finding the Third Proportional to 605,742,792 and 1,317,617,964

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Solution

The third proportional to 605,742,792 and 1,317,617,964 is: 2,866,096,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,792 : 1,317,617,964 = 1,317,617,964 : x
  2. Step 2: Convert to fraction form
    605,742,792/1,317,617,964 = 1,317,617,964/x
  3. Step 3: Cross multiply
    605,742,792x = 1,317,617,964 × 1,317,617,964
  4. Step 4: Simplify right side
    605,742,792x = 1,736,117,099,055,505,408
  5. Step 5: Solve for x
    x = 1,736,117,099,055,505,408/605,742,792
  6. Step 6: Final answer
    x = 2,866,096,174.79

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Why These Related Problems?

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