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Finding the Third Proportional to 716,424.75 and 1,557,144

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Solution

The third proportional to 716,424.75 and 1,557,144 is: 3,384,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,424.75 : 1,557,144 = 1,557,144 : x
  2. Step 2: Convert to fraction form
    716,424.75/1,557,144 = 1,557,144/x
  3. Step 3: Cross multiply
    716,424.75x = 1,557,144 × 1,557,144
  4. Step 4: Simplify right side
    716,424.75x = 2,424,697,436,736
  5. Step 5: Solve for x
    x = 2,424,697,436,736/716,424.75
  6. Step 6: Final answer
    x = 3,384,441.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.