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Finding the Third Proportional to 462,756 and 1,007,592

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Solution

The third proportional to 462,756 and 1,007,592 is: 2,193,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,756 : 1,007,592 = 1,007,592 : x
  2. Step 2: Convert to fraction form
    462,756/1,007,592 = 1,007,592/x
  3. Step 3: Cross multiply
    462,756x = 1,007,592 × 1,007,592
  4. Step 4: Simplify right side
    462,756x = 1,015,241,638,464
  5. Step 5: Solve for x
    x = 1,015,241,638,464/462,756
  6. Step 6: Final answer
    x = 2,193,902.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.