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Finding the Third Proportional to 604,780,188 and 1,319,037,216

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Solution

The third proportional to 604,780,188 and 1,319,037,216 is: 2,876,845,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,780,188 : 1,319,037,216 = 1,319,037,216 : x
  2. Step 2: Convert to fraction form
    604,780,188/1,319,037,216 = 1,319,037,216/x
  3. Step 3: Cross multiply
    604,780,188x = 1,319,037,216 × 1,319,037,216
  4. Step 4: Simplify right side
    604,780,188x = 1,739,859,177,193,030,656
  5. Step 5: Solve for x
    x = 1,739,859,177,193,030,656/604,780,188
  6. Step 6: Final answer
    x = 2,876,845,524.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.