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Finding the Third Proportional to 1,387,422,706 and 1,994,213,403

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Solution

The third proportional to 1,387,422,706 and 1,994,213,403 is: 2,866,384,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,422,706 : 1,994,213,403 = 1,994,213,403 : x
  2. Step 2: Convert to fraction form
    1,387,422,706/1,994,213,403 = 1,994,213,403/x
  3. Step 3: Cross multiply
    1,387,422,706x = 1,994,213,403 × 1,994,213,403
  4. Step 4: Simplify right side
    1,387,422,706x = 3,976,887,096,704,840,192
  5. Step 5: Solve for x
    x = 3,976,887,096,704,840,192/1,387,422,706
  6. Step 6: Final answer
    x = 2,866,384,613.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.