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Finding the Third Proportional to 559,228 and 1,215,656

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Solution

The third proportional to 559,228 and 1,215,656 is: 2,642,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,228 : 1,215,656 = 1,215,656 : x
  2. Step 2: Convert to fraction form
    559,228/1,215,656 = 1,215,656/x
  3. Step 3: Cross multiply
    559,228x = 1,215,656 × 1,215,656
  4. Step 4: Simplify right side
    559,228x = 1,477,819,510,336
  5. Step 5: Solve for x
    x = 1,477,819,510,336/559,228
  6. Step 6: Final answer
    x = 2,642,606.43

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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.