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Finding the Third Proportional to 496,671 and 1,072,737

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Solution

The third proportional to 496,671 and 1,072,737 is: 2,316,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,671 : 1,072,737 = 1,072,737 : x
  2. Step 2: Convert to fraction form
    496,671/1,072,737 = 1,072,737/x
  3. Step 3: Cross multiply
    496,671x = 1,072,737 × 1,072,737
  4. Step 4: Simplify right side
    496,671x = 1,150,764,671,169
  5. Step 5: Solve for x
    x = 1,150,764,671,169/496,671
  6. Step 6: Final answer
    x = 2,316,955.63

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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.