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Finding the Third Proportional to 740,558 and 1,048,467

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Solution

The third proportional to 740,558 and 1,048,467 is: 1,484,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,558 : 1,048,467 = 1,048,467 : x
  2. Step 2: Convert to fraction form
    740,558/1,048,467 = 1,048,467/x
  3. Step 3: Cross multiply
    740,558x = 1,048,467 × 1,048,467
  4. Step 4: Simplify right side
    740,558x = 1,099,283,050,089
  5. Step 5: Solve for x
    x = 1,099,283,050,089/740,558
  6. Step 6: Final answer
    x = 1,484,398.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.