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Finding the Third Proportional to 1,128,375,380.25 and 1,709,627,502.38

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Solution

The third proportional to 1,128,375,380.25 and 1,709,627,502.38 is: 2,590,295,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,375,380.25 : 1,709,627,502.38 = 1,709,627,502.38 : x
  2. Step 2: Convert to fraction form
    1,128,375,380.25/1,709,627,502.38 = 1,709,627,502.38/x
  3. Step 3: Cross multiply
    1,128,375,380.25x = 1,709,627,502.38 × 1,709,627,502.38
  4. Step 4: Simplify right side
    1,128,375,380.25x = 2,922,826,196,876,980,736
  5. Step 5: Solve for x
    x = 2,922,826,196,876,980,736/1,128,375,380.25
  6. Step 6: Final answer
    x = 2,590,295,967.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.