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Finding the Third Proportional to 858,480,424 and 1,859,579,216

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Solution

The third proportional to 858,480,424 and 1,859,579,216 is: 4,028,088,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,480,424 : 1,859,579,216 = 1,859,579,216 : x
  2. Step 2: Convert to fraction form
    858,480,424/1,859,579,216 = 1,859,579,216/x
  3. Step 3: Cross multiply
    858,480,424x = 1,859,579,216 × 1,859,579,216
  4. Step 4: Simplify right side
    858,480,424x = 3,458,034,860,579,174,400
  5. Step 5: Solve for x
    x = 3,458,034,860,579,174,400/858,480,424
  6. Step 6: Final answer
    x = 4,028,088,193.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.