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Finding the Third Proportional to 776,509,875 and 1,092,213,004.50

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Solution

The third proportional to 776,509,875 and 1,092,213,004.50 is: 1,536,270,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,509,875 : 1,092,213,004.50 = 1,092,213,004.50 : x
  2. Step 2: Convert to fraction form
    776,509,875/1,092,213,004.50 = 1,092,213,004.50/x
  3. Step 3: Cross multiply
    776,509,875x = 1,092,213,004.50 × 1,092,213,004.50
  4. Step 4: Simplify right side
    776,509,875x = 1,192,929,247,198,917,120
  5. Step 5: Solve for x
    x = 1,192,929,247,198,917,120/776,509,875
  6. Step 6: Final answer
    x = 1,536,270,542.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.