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Finding the Third Proportional to 783,380,602 and 1,185,146,224

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Solution

The third proportional to 783,380,602 and 1,185,146,224 is: 1,792,961,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,380,602 : 1,185,146,224 = 1,185,146,224 : x
  2. Step 2: Convert to fraction form
    783,380,602/1,185,146,224 = 1,185,146,224/x
  3. Step 3: Cross multiply
    783,380,602x = 1,185,146,224 × 1,185,146,224
  4. Step 4: Simplify right side
    783,380,602x = 1,404,571,572,261,458,176
  5. Step 5: Solve for x
    x = 1,404,571,572,261,458,176/783,380,602
  6. Step 6: Final answer
    x = 1,792,961,899.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.