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Finding the Third Proportional to 488,390,659 and 1,047,679,193

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Solution

The third proportional to 488,390,659 and 1,047,679,193 is: 2,247,446,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,390,659 : 1,047,679,193 = 1,047,679,193 : x
  2. Step 2: Convert to fraction form
    488,390,659/1,047,679,193 = 1,047,679,193/x
  3. Step 3: Cross multiply
    488,390,659x = 1,047,679,193 × 1,047,679,193
  4. Step 4: Simplify right side
    488,390,659x = 1,097,631,691,445,131,264
  5. Step 5: Solve for x
    x = 1,097,631,691,445,131,264/488,390,659
  6. Step 6: Final answer
    x = 2,247,446,119.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.