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Finding the Third Proportional to 501,626 and 978,124

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Solution

The third proportional to 501,626 and 978,124 is: 1,907,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,626 : 978,124 = 978,124 : x
  2. Step 2: Convert to fraction form
    501,626/978,124 = 978,124/x
  3. Step 3: Cross multiply
    501,626x = 978,124 × 978,124
  4. Step 4: Simplify right side
    501,626x = 956,726,559,376
  5. Step 5: Solve for x
    x = 956,726,559,376/501,626
  6. Step 6: Final answer
    x = 1,907,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.