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Finding the Third Proportional to 713,832 and 1,076,796

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Solution

The third proportional to 713,832 and 1,076,796 is: 1,624,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,832 : 1,076,796 = 1,076,796 : x
  2. Step 2: Convert to fraction form
    713,832/1,076,796 = 1,076,796/x
  3. Step 3: Cross multiply
    713,832x = 1,076,796 × 1,076,796
  4. Step 4: Simplify right side
    713,832x = 1,159,489,625,616
  5. Step 5: Solve for x
    x = 1,159,489,625,616/713,832
  6. Step 6: Final answer
    x = 1,624,317.24

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Why These Related Problems?

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