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Finding the Third Proportional to 1,166,100,594 and 1,788,125,796

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Solution

The third proportional to 1,166,100,594 and 1,788,125,796 is: 2,741,953,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,100,594 : 1,788,125,796 = 1,788,125,796 : x
  2. Step 2: Convert to fraction form
    1,166,100,594/1,788,125,796 = 1,788,125,796/x
  3. Step 3: Cross multiply
    1,166,100,594x = 1,788,125,796 × 1,788,125,796
  4. Step 4: Simplify right side
    1,166,100,594x = 3,197,393,862,320,633,856
  5. Step 5: Solve for x
    x = 3,197,393,862,320,633,856/1,166,100,594
  6. Step 6: Final answer
    x = 2,741,953,720.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.