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Finding the Third Proportional to 702,904,886 and 1,463,988,792

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Solution

The third proportional to 702,904,886 and 1,463,988,792 is: 3,049,151,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904,886 : 1,463,988,792 = 1,463,988,792 : x
  2. Step 2: Convert to fraction form
    702,904,886/1,463,988,792 = 1,463,988,792/x
  3. Step 3: Cross multiply
    702,904,886x = 1,463,988,792 × 1,463,988,792
  4. Step 4: Simplify right side
    702,904,886x = 2,143,263,183,101,619,200
  5. Step 5: Solve for x
    x = 2,143,263,183,101,619,200/702,904,886
  6. Step 6: Final answer
    x = 3,049,151,066.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.