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Finding the Third Proportional to 509,905 and 1,110,833

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Solution

The third proportional to 509,905 and 1,110,833 is: 2,419,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,905 : 1,110,833 = 1,110,833 : x
  2. Step 2: Convert to fraction form
    509,905/1,110,833 = 1,110,833/x
  3. Step 3: Cross multiply
    509,905x = 1,110,833 × 1,110,833
  4. Step 4: Simplify right side
    509,905x = 1,233,949,953,889
  5. Step 5: Solve for x
    x = 1,233,949,953,889/509,905
  6. Step 6: Final answer
    x = 2,419,960.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.