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Finding the Third Proportional to 693,916.88 and 1,606,317.33

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Solution

The third proportional to 693,916.88 and 1,606,317.33 is: 3,718,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,916.88 : 1,606,317.33 = 1,606,317.33 : x
  2. Step 2: Convert to fraction form
    693,916.88/1,606,317.33 = 1,606,317.33/x
  3. Step 3: Cross multiply
    693,916.88x = 1,606,317.33 × 1,606,317.33
  4. Step 4: Simplify right side
    693,916.88x = 2,580,255,358,634.64
  5. Step 5: Solve for x
    x = 2,580,255,358,634.64/693,916.88
  6. Step 6: Final answer
    x = 3,718,392.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.