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Finding the Third Proportional to 546,144 and 1,154,592

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Solution

The third proportional to 546,144 and 1,154,592 is: 2,440,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,144 : 1,154,592 = 1,154,592 : x
  2. Step 2: Convert to fraction form
    546,144/1,154,592 = 1,154,592/x
  3. Step 3: Cross multiply
    546,144x = 1,154,592 × 1,154,592
  4. Step 4: Simplify right side
    546,144x = 1,333,082,686,464
  5. Step 5: Solve for x
    x = 1,333,082,686,464/546,144
  6. Step 6: Final answer
    x = 2,440,899.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.