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Finding the Third Proportional to 779,595,381 and 1,733,495,976

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Solution

The third proportional to 779,595,381 and 1,733,495,976 is: 3,854,574,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,595,381 : 1,733,495,976 = 1,733,495,976 : x
  2. Step 2: Convert to fraction form
    779,595,381/1,733,495,976 = 1,733,495,976/x
  3. Step 3: Cross multiply
    779,595,381x = 1,733,495,976 × 1,733,495,976
  4. Step 4: Simplify right side
    779,595,381x = 3,005,008,298,808,192,512
  5. Step 5: Solve for x
    x = 3,005,008,298,808,192,512/779,595,381
  6. Step 6: Final answer
    x = 3,854,574,272.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.