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Finding the Third Proportional to 1,921,677 and 2,824,683

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Solution

The third proportional to 1,921,677 and 2,824,683 is: 4,152,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,677 : 2,824,683 = 2,824,683 : x
  2. Step 2: Convert to fraction form
    1,921,677/2,824,683 = 2,824,683/x
  3. Step 3: Cross multiply
    1,921,677x = 2,824,683 × 2,824,683
  4. Step 4: Simplify right side
    1,921,677x = 7,978,834,050,489
  5. Step 5: Solve for x
    x = 7,978,834,050,489/1,921,677
  6. Step 6: Final answer
    x = 4,152,016.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.