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Finding the Third Proportional to 585,986.50 and 1,243,916

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Solution

The third proportional to 585,986.50 and 1,243,916 is: 2,640,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,986.50 : 1,243,916 = 1,243,916 : x
  2. Step 2: Convert to fraction form
    585,986.50/1,243,916 = 1,243,916/x
  3. Step 3: Cross multiply
    585,986.50x = 1,243,916 × 1,243,916
  4. Step 4: Simplify right side
    585,986.50x = 1,547,327,015,056
  5. Step 5: Solve for x
    x = 1,547,327,015,056/585,986.50
  6. Step 6: Final answer
    x = 2,640,550.62

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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.