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Finding the Third Proportional to 473,781,906 and 1,022,475,158.44

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Solution

The third proportional to 473,781,906 and 1,022,475,158.44 is: 2,206,617,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,781,906 : 1,022,475,158.44 = 1,022,475,158.44 : x
  2. Step 2: Convert to fraction form
    473,781,906/1,022,475,158.44 = 1,022,475,158.44/x
  3. Step 3: Cross multiply
    473,781,906x = 1,022,475,158.44 × 1,022,475,158.44
  4. Step 4: Simplify right side
    473,781,906x = 1,045,455,449,621,790,720
  5. Step 5: Solve for x
    x = 1,045,455,449,621,790,720/473,781,906
  6. Step 6: Final answer
    x = 2,206,617,509.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.