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Finding the Third Proportional to 1,083,004 and 1,683,737

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Solution

The third proportional to 1,083,004 and 1,683,737 is: 2,617,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,004 : 1,683,737 = 1,683,737 : x
  2. Step 2: Convert to fraction form
    1,083,004/1,683,737 = 1,683,737/x
  3. Step 3: Cross multiply
    1,083,004x = 1,683,737 × 1,683,737
  4. Step 4: Simplify right side
    1,083,004x = 2,834,970,285,169
  5. Step 5: Solve for x
    x = 2,834,970,285,169/1,083,004
  6. Step 6: Final answer
    x = 2,617,691.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.