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Finding the Third Proportional to 605,742,720 and 1,317,617,796

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Solution

The third proportional to 605,742,720 and 1,317,617,796 is: 2,866,095,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,720 : 1,317,617,796 = 1,317,617,796 : x
  2. Step 2: Convert to fraction form
    605,742,720/1,317,617,796 = 1,317,617,796/x
  3. Step 3: Cross multiply
    605,742,720x = 1,317,617,796 × 1,317,617,796
  4. Step 4: Simplify right side
    605,742,720x = 1,736,116,656,335,897,600
  5. Step 5: Solve for x
    x = 1,736,116,656,335,897,600/605,742,720
  6. Step 6: Final answer
    x = 2,866,095,784.59

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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.