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Finding the Third Proportional to 538,460 and 1,174,712

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Solution

The third proportional to 538,460 and 1,174,712 is: 2,562,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,460 : 1,174,712 = 1,174,712 : x
  2. Step 2: Convert to fraction form
    538,460/1,174,712 = 1,174,712/x
  3. Step 3: Cross multiply
    538,460x = 1,174,712 × 1,174,712
  4. Step 4: Simplify right side
    538,460x = 1,379,948,282,944
  5. Step 5: Solve for x
    x = 1,379,948,282,944/538,460
  6. Step 6: Final answer
    x = 2,562,768.42

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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.