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Finding the Third Proportional to 609,128,804.25 and 927,969,941.25

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Solution

The third proportional to 609,128,804.25 and 927,969,941.25 is: 1,413,704,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,128,804.25 : 927,969,941.25 = 927,969,941.25 : x
  2. Step 2: Convert to fraction form
    609,128,804.25/927,969,941.25 = 927,969,941.25/x
  3. Step 3: Cross multiply
    609,128,804.25x = 927,969,941.25 × 927,969,941.25
  4. Step 4: Simplify right side
    609,128,804.25x = 861,128,211,863,528,448
  5. Step 5: Solve for x
    x = 861,128,211,863,528,448/609,128,804.25
  6. Step 6: Final answer
    x = 1,413,704,631.69

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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.