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Finding the Third Proportional to 816,705,104 and 1,255,334,244

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Solution

The third proportional to 816,705,104 and 1,255,334,244 is: 1,929,538,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,705,104 : 1,255,334,244 = 1,255,334,244 : x
  2. Step 2: Convert to fraction form
    816,705,104/1,255,334,244 = 1,255,334,244/x
  3. Step 3: Cross multiply
    816,705,104x = 1,255,334,244 × 1,255,334,244
  4. Step 4: Simplify right side
    816,705,104x = 1,575,864,064,159,051,520
  5. Step 5: Solve for x
    x = 1,575,864,064,159,051,520/816,705,104
  6. Step 6: Final answer
    x = 1,929,538,650.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.