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Finding the Third Proportional to 455,872 and 978,202

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Solution

The third proportional to 455,872 and 978,202 is: 2,099,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,872 : 978,202 = 978,202 : x
  2. Step 2: Convert to fraction form
    455,872/978,202 = 978,202/x
  3. Step 3: Cross multiply
    455,872x = 978,202 × 978,202
  4. Step 4: Simplify right side
    455,872x = 956,879,152,804
  5. Step 5: Solve for x
    x = 956,879,152,804/455,872
  6. Step 6: Final answer
    x = 2,099,008.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.