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Finding the Third Proportional to 498,432 and 1,076,544

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Solution

The third proportional to 498,432 and 1,076,544 is: 2,325,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,432 : 1,076,544 = 1,076,544 : x
  2. Step 2: Convert to fraction form
    498,432/1,076,544 = 1,076,544/x
  3. Step 3: Cross multiply
    498,432x = 1,076,544 × 1,076,544
  4. Step 4: Simplify right side
    498,432x = 1,158,946,983,936
  5. Step 5: Solve for x
    x = 1,158,946,983,936/498,432
  6. Step 6: Final answer
    x = 2,325,185.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.