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Finding the Third Proportional to 496,499,658 and 1,044,453,138

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Solution

The third proportional to 496,499,658 and 1,044,453,138 is: 2,197,146,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,499,658 : 1,044,453,138 = 1,044,453,138 : x
  2. Step 2: Convert to fraction form
    496,499,658/1,044,453,138 = 1,044,453,138/x
  3. Step 3: Cross multiply
    496,499,658x = 1,044,453,138 × 1,044,453,138
  4. Step 4: Simplify right side
    496,499,658x = 1,090,882,357,478,047,104
  5. Step 5: Solve for x
    x = 1,090,882,357,478,047,104/496,499,658
  6. Step 6: Final answer
    x = 2,197,146,241.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.