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Finding the Third Proportional to 564,111 and 1,174,878

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Solution

The third proportional to 564,111 and 1,174,878 is: 2,446,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,111 : 1,174,878 = 1,174,878 : x
  2. Step 2: Convert to fraction form
    564,111/1,174,878 = 1,174,878/x
  3. Step 3: Cross multiply
    564,111x = 1,174,878 × 1,174,878
  4. Step 4: Simplify right side
    564,111x = 1,380,338,314,884
  5. Step 5: Solve for x
    x = 1,380,338,314,884/564,111
  6. Step 6: Final answer
    x = 2,446,926.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.