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Finding the Third Proportional to 665,238 and 1,023,918

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Solution

The third proportional to 665,238 and 1,023,918 is: 1,575,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,238 : 1,023,918 = 1,023,918 : x
  2. Step 2: Convert to fraction form
    665,238/1,023,918 = 1,023,918/x
  3. Step 3: Cross multiply
    665,238x = 1,023,918 × 1,023,918
  4. Step 4: Simplify right side
    665,238x = 1,048,408,070,724
  5. Step 5: Solve for x
    x = 1,048,408,070,724/665,238
  6. Step 6: Final answer
    x = 1,575,989.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.