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Finding the Third Proportional to 513,454 and 1,144,968

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Solution

The third proportional to 513,454 and 1,144,968 is: 2,553,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,454 : 1,144,968 = 1,144,968 : x
  2. Step 2: Convert to fraction form
    513,454/1,144,968 = 1,144,968/x
  3. Step 3: Cross multiply
    513,454x = 1,144,968 × 1,144,968
  4. Step 4: Simplify right side
    513,454x = 1,310,951,721,024
  5. Step 5: Solve for x
    x = 1,310,951,721,024/513,454
  6. Step 6: Final answer
    x = 2,553,201.89

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.