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Finding the Third Proportional to 679,083.75 and 1,439,119.41

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Solution

The third proportional to 679,083.75 and 1,439,119.41 is: 3,049,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,083.75 : 1,439,119.41 = 1,439,119.41 : x
  2. Step 2: Convert to fraction form
    679,083.75/1,439,119.41 = 1,439,119.41/x
  3. Step 3: Cross multiply
    679,083.75x = 1,439,119.41 × 1,439,119.41
  4. Step 4: Simplify right side
    679,083.75x = 2,071,064,665,445.35
  5. Step 5: Solve for x
    x = 2,071,064,665,445.35/679,083.75
  6. Step 6: Final answer
    x = 3,049,792.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.