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Finding the Third Proportional to 514,007,086 and 783,056,634

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Solution

The third proportional to 514,007,086 and 783,056,634 is: 1,192,936,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,007,086 : 783,056,634 = 783,056,634 : x
  2. Step 2: Convert to fraction form
    514,007,086/783,056,634 = 783,056,634/x
  3. Step 3: Cross multiply
    514,007,086x = 783,056,634 × 783,056,634
  4. Step 4: Simplify right side
    514,007,086x = 613,177,692,051,409,920
  5. Step 5: Solve for x
    x = 613,177,692,051,409,920/514,007,086
  6. Step 6: Final answer
    x = 1,192,936,262.46

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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.