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Finding the Third Proportional to 824,860.13 and 1,245,589.31

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Solution

The third proportional to 824,860.13 and 1,245,589.31 is: 1,880,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,860.13 : 1,245,589.31 = 1,245,589.31 : x
  2. Step 2: Convert to fraction form
    824,860.13/1,245,589.31 = 1,245,589.31/x
  3. Step 3: Cross multiply
    824,860.13x = 1,245,589.31 × 1,245,589.31
  4. Step 4: Simplify right side
    824,860.13x = 1,551,492,735,414.22
  5. Step 5: Solve for x
    x = 1,551,492,735,414.22/824,860.13
  6. Step 6: Final answer
    x = 1,880,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.