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Finding the Third Proportional to 720,576 and 1,076,832

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Solution

The third proportional to 720,576 and 1,076,832 is: 1,609,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,576 : 1,076,832 = 1,076,832 : x
  2. Step 2: Convert to fraction form
    720,576/1,076,832 = 1,076,832/x
  3. Step 3: Cross multiply
    720,576x = 1,076,832 × 1,076,832
  4. Step 4: Simplify right side
    720,576x = 1,159,567,156,224
  5. Step 5: Solve for x
    x = 1,159,567,156,224/720,576
  6. Step 6: Final answer
    x = 1,609,222.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.