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Finding the Third Proportional to 455,295,784 and 979,645,544

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Solution

The third proportional to 455,295,784 and 979,645,544 is: 2,107,872,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,295,784 : 979,645,544 = 979,645,544 : x
  2. Step 2: Convert to fraction form
    455,295,784/979,645,544 = 979,645,544/x
  3. Step 3: Cross multiply
    455,295,784x = 979,645,544 × 979,645,544
  4. Step 4: Simplify right side
    455,295,784x = 959,705,391,879,055,872
  5. Step 5: Solve for x
    x = 959,705,391,879,055,872/455,295,784
  6. Step 6: Final answer
    x = 2,107,872,344.98

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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.