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Finding the Third Proportional to 496,212 and 1,076,444

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Solution

The third proportional to 496,212 and 1,076,444 is: 2,335,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,212 : 1,076,444 = 1,076,444 : x
  2. Step 2: Convert to fraction form
    496,212/1,076,444 = 1,076,444/x
  3. Step 3: Cross multiply
    496,212x = 1,076,444 × 1,076,444
  4. Step 4: Simplify right side
    496,212x = 1,158,731,685,136
  5. Step 5: Solve for x
    x = 1,158,731,685,136/496,212
  6. Step 6: Final answer
    x = 2,335,154.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.