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Finding the Third Proportional to 804,319,989 and 1,229,873,596.50

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Solution

The third proportional to 804,319,989 and 1,229,873,596.50 is: 1,880,581,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,319,989 : 1,229,873,596.50 = 1,229,873,596.50 : x
  2. Step 2: Convert to fraction form
    804,319,989/1,229,873,596.50 = 1,229,873,596.50/x
  3. Step 3: Cross multiply
    804,319,989x = 1,229,873,596.50 × 1,229,873,596.50
  4. Step 4: Simplify right side
    804,319,989x = 1,512,589,063,367,844,864
  5. Step 5: Solve for x
    x = 1,512,589,063,367,844,864/804,319,989
  6. Step 6: Final answer
    x = 1,880,581,216.50

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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.