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Finding the Third Proportional to 713,792 and 1,076,736

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Solution

The third proportional to 713,792 and 1,076,736 is: 1,624,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,792 : 1,076,736 = 1,076,736 : x
  2. Step 2: Convert to fraction form
    713,792/1,076,736 = 1,076,736/x
  3. Step 3: Cross multiply
    713,792x = 1,076,736 × 1,076,736
  4. Step 4: Simplify right side
    713,792x = 1,159,360,413,696
  5. Step 5: Solve for x
    x = 1,159,360,413,696/713,792
  6. Step 6: Final answer
    x = 1,624,227.25

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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.