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Finding the Third Proportional to 783,381,456 and 1,185,147,542

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Solution

The third proportional to 783,381,456 and 1,185,147,542 is: 1,792,963,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,381,456 : 1,185,147,542 = 1,185,147,542 : x
  2. Step 2: Convert to fraction form
    783,381,456/1,185,147,542 = 1,185,147,542/x
  3. Step 3: Cross multiply
    783,381,456x = 1,185,147,542 × 1,185,147,542
  4. Step 4: Simplify right side
    783,381,456x = 1,404,574,696,308,641,792
  5. Step 5: Solve for x
    x = 1,404,574,696,308,641,792/783,381,456
  6. Step 6: Final answer
    x = 1,792,963,932.90

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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.