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Finding the Third Proportional to 488,390,670 and 1,047,679,218

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Solution

The third proportional to 488,390,670 and 1,047,679,218 is: 2,247,446,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,390,670 : 1,047,679,218 = 1,047,679,218 : x
  2. Step 2: Convert to fraction form
    488,390,670/1,047,679,218 = 1,047,679,218/x
  3. Step 3: Cross multiply
    488,390,670x = 1,047,679,218 × 1,047,679,218
  4. Step 4: Simplify right side
    488,390,670x = 1,097,631,743,829,091,584
  5. Step 5: Solve for x
    x = 1,097,631,743,829,091,584/488,390,670
  6. Step 6: Final answer
    x = 2,247,446,176.29

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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.