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Finding the Third Proportional to 468,344 and 1,015,426

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Solution

The third proportional to 468,344 and 1,015,426 is: 2,201,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,344 : 1,015,426 = 1,015,426 : x
  2. Step 2: Convert to fraction form
    468,344/1,015,426 = 1,015,426/x
  3. Step 3: Cross multiply
    468,344x = 1,015,426 × 1,015,426
  4. Step 4: Simplify right side
    468,344x = 1,031,089,961,476
  5. Step 5: Solve for x
    x = 1,031,089,961,476/468,344
  6. Step 6: Final answer
    x = 2,201,565.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.