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Finding the Third Proportional to 492,775.88 and 1,076,896.13

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Solution

The third proportional to 492,775.88 and 1,076,896.13 is: 2,353,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,775.88 : 1,076,896.13 = 1,076,896.13 : x
  2. Step 2: Convert to fraction form
    492,775.88/1,076,896.13 = 1,076,896.13/x
  3. Step 3: Cross multiply
    492,775.88x = 1,076,896.13 × 1,076,896.13
  4. Step 4: Simplify right side
    492,775.88x = 1,159,705,264,040.02
  5. Step 5: Solve for x
    x = 1,159,705,264,040.02/492,775.88
  6. Step 6: Final answer
    x = 2,353,413.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.