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Finding the Third Proportional to 617,846 and 924,532

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Solution

The third proportional to 617,846 and 924,532 is: 1,383,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,846 : 924,532 = 924,532 : x
  2. Step 2: Convert to fraction form
    617,846/924,532 = 924,532/x
  3. Step 3: Cross multiply
    617,846x = 924,532 × 924,532
  4. Step 4: Simplify right side
    617,846x = 854,759,419,024
  5. Step 5: Solve for x
    x = 854,759,419,024/617,846
  6. Step 6: Final answer
    x = 1,383,450.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.