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Finding the Third Proportional to 455,011 and 978,711

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Solution

The third proportional to 455,011 and 978,711 is: 2,105,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,011 : 978,711 = 978,711 : x
  2. Step 2: Convert to fraction form
    455,011/978,711 = 978,711/x
  3. Step 3: Cross multiply
    455,011x = 978,711 × 978,711
  4. Step 4: Simplify right side
    455,011x = 957,875,221,521
  5. Step 5: Solve for x
    x = 957,875,221,521/455,011
  6. Step 6: Final answer
    x = 2,105,169.37

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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.