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Finding the Third Proportional to 769,101 and 1,683,018

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Solution

The third proportional to 769,101 and 1,683,018 is: 3,682,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,101 : 1,683,018 = 1,683,018 : x
  2. Step 2: Convert to fraction form
    769,101/1,683,018 = 1,683,018/x
  3. Step 3: Cross multiply
    769,101x = 1,683,018 × 1,683,018
  4. Step 4: Simplify right side
    769,101x = 2,832,549,588,324
  5. Step 5: Solve for x
    x = 2,832,549,588,324/769,101
  6. Step 6: Final answer
    x = 3,682,935.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.