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Finding the Third Proportional to 1,081,728 and 1,683,720

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Solution

The third proportional to 1,081,728 and 1,683,720 is: 2,620,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,728 : 1,683,720 = 1,683,720 : x
  2. Step 2: Convert to fraction form
    1,081,728/1,683,720 = 1,683,720/x
  3. Step 3: Cross multiply
    1,081,728x = 1,683,720 × 1,683,720
  4. Step 4: Simplify right side
    1,081,728x = 2,834,913,038,400
  5. Step 5: Solve for x
    x = 2,834,913,038,400/1,081,728
  6. Step 6: Final answer
    x = 2,620,726.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.