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Finding the Third Proportional to 507,765 and 1,102,938

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Solution

The third proportional to 507,765 and 1,102,938 is: 2,395,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,765 : 1,102,938 = 1,102,938 : x
  2. Step 2: Convert to fraction form
    507,765/1,102,938 = 1,102,938/x
  3. Step 3: Cross multiply
    507,765x = 1,102,938 × 1,102,938
  4. Step 4: Simplify right side
    507,765x = 1,216,472,231,844
  5. Step 5: Solve for x
    x = 1,216,472,231,844/507,765
  6. Step 6: Final answer
    x = 2,395,738.64

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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.