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Finding the Third Proportional to 740,556 and 1,048,464

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Solution

The third proportional to 740,556 and 1,048,464 is: 1,484,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,556 : 1,048,464 = 1,048,464 : x
  2. Step 2: Convert to fraction form
    740,556/1,048,464 = 1,048,464/x
  3. Step 3: Cross multiply
    740,556x = 1,048,464 × 1,048,464
  4. Step 4: Simplify right side
    740,556x = 1,099,276,759,296
  5. Step 5: Solve for x
    x = 1,099,276,759,296/740,556
  6. Step 6: Final answer
    x = 1,484,393.83

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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.