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Finding the Third Proportional to 507,621 and 1,083,742

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Solution

The third proportional to 507,621 and 1,083,742 is: 2,313,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,621 : 1,083,742 = 1,083,742 : x
  2. Step 2: Convert to fraction form
    507,621/1,083,742 = 1,083,742/x
  3. Step 3: Cross multiply
    507,621x = 1,083,742 × 1,083,742
  4. Step 4: Simplify right side
    507,621x = 1,174,496,722,564
  5. Step 5: Solve for x
    x = 1,174,496,722,564/507,621
  6. Step 6: Final answer
    x = 2,313,727.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.