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Finding the Third Proportional to 507,970 and 1,103,508

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Solution

The third proportional to 507,970 and 1,103,508 is: 2,397,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,970 : 1,103,508 = 1,103,508 : x
  2. Step 2: Convert to fraction form
    507,970/1,103,508 = 1,103,508/x
  3. Step 3: Cross multiply
    507,970x = 1,103,508 × 1,103,508
  4. Step 4: Simplify right side
    507,970x = 1,217,729,906,064
  5. Step 5: Solve for x
    x = 1,217,729,906,064/507,970
  6. Step 6: Final answer
    x = 2,397,247.68

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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.