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Finding the Third Proportional to 538,455 and 1,174,703

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Solution

The third proportional to 538,455 and 1,174,703 is: 2,562,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,455 : 1,174,703 = 1,174,703 : x
  2. Step 2: Convert to fraction form
    538,455/1,174,703 = 1,174,703/x
  3. Step 3: Cross multiply
    538,455x = 1,174,703 × 1,174,703
  4. Step 4: Simplify right side
    538,455x = 1,379,927,138,209
  5. Step 5: Solve for x
    x = 1,379,927,138,209/538,455
  6. Step 6: Final answer
    x = 2,562,752.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.