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Finding the Third Proportional to 605,742,644 and 1,317,617,667

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Solution

The third proportional to 605,742,644 and 1,317,617,667 is: 2,866,095,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,644 : 1,317,617,667 = 1,317,617,667 : x
  2. Step 2: Convert to fraction form
    605,742,644/1,317,617,667 = 1,317,617,667/x
  3. Step 3: Cross multiply
    605,742,644x = 1,317,617,667 × 1,317,617,667
  4. Step 4: Simplify right side
    605,742,644x = 1,736,116,316,390,522,880
  5. Step 5: Solve for x
    x = 1,736,116,316,390,522,880/605,742,644
  6. Step 6: Final answer
    x = 2,866,095,582.98

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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.