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Finding the Third Proportional to 827,938 and 1,788,740

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Solution

The third proportional to 827,938 and 1,788,740 is: 3,864,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,938 : 1,788,740 = 1,788,740 : x
  2. Step 2: Convert to fraction form
    827,938/1,788,740 = 1,788,740/x
  3. Step 3: Cross multiply
    827,938x = 1,788,740 × 1,788,740
  4. Step 4: Simplify right side
    827,938x = 3,199,590,787,600
  5. Step 5: Solve for x
    x = 3,199,590,787,600/827,938
  6. Step 6: Final answer
    x = 3,864,529.45

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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.