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Finding the Third Proportional to 507,786 and 1,104,138

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Solution

The third proportional to 507,786 and 1,104,138 is: 2,400,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,786 : 1,104,138 = 1,104,138 : x
  2. Step 2: Convert to fraction form
    507,786/1,104,138 = 1,104,138/x
  3. Step 3: Cross multiply
    507,786x = 1,104,138 × 1,104,138
  4. Step 4: Simplify right side
    507,786x = 1,219,120,723,044
  5. Step 5: Solve for x
    x = 1,219,120,723,044/507,786
  6. Step 6: Final answer
    x = 2,400,855.33

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Why These Related Problems?

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