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Finding the Third Proportional to 613,144 and 915,940

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Solution

The third proportional to 613,144 and 915,940 is: 1,368,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,144 : 915,940 = 915,940 : x
  2. Step 2: Convert to fraction form
    613,144/915,940 = 915,940/x
  3. Step 3: Cross multiply
    613,144x = 915,940 × 915,940
  4. Step 4: Simplify right side
    613,144x = 838,946,083,600
  5. Step 5: Solve for x
    x = 838,946,083,600/613,144
  6. Step 6: Final answer
    x = 1,368,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.