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Finding the Third Proportional to 662,864,814 and 997,064,694

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Solution

The third proportional to 662,864,814 and 997,064,694 is: 1,499,759,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,864,814 : 997,064,694 = 997,064,694 : x
  2. Step 2: Convert to fraction form
    662,864,814/997,064,694 = 997,064,694/x
  3. Step 3: Cross multiply
    662,864,814x = 997,064,694 × 997,064,694
  4. Step 4: Simplify right side
    662,864,814x = 994,138,004,021,313,664
  5. Step 5: Solve for x
    x = 994,138,004,021,313,664/662,864,814
  6. Step 6: Final answer
    x = 1,499,759,804.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.