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Finding the Third Proportional to 1,128,375,382 and 1,709,627,505

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Solution

The third proportional to 1,128,375,382 and 1,709,627,505 is: 2,590,295,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,375,382 : 1,709,627,505 = 1,709,627,505 : x
  2. Step 2: Convert to fraction form
    1,128,375,382/1,709,627,505 = 1,709,627,505/x
  3. Step 3: Cross multiply
    1,128,375,382x = 1,709,627,505 × 1,709,627,505
  4. Step 4: Simplify right side
    1,128,375,382x = 2,922,826,205,852,525,056
  5. Step 5: Solve for x
    x = 2,922,826,205,852,525,056/1,128,375,382
  6. Step 6: Final answer
    x = 2,590,295,971.07

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Why These Related Problems?

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