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Finding the Third Proportional to 538,572 and 1,135,464

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Solution

The third proportional to 538,572 and 1,135,464 is: 2,393,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,572 : 1,135,464 = 1,135,464 : x
  2. Step 2: Convert to fraction form
    538,572/1,135,464 = 1,135,464/x
  3. Step 3: Cross multiply
    538,572x = 1,135,464 × 1,135,464
  4. Step 4: Simplify right side
    538,572x = 1,289,278,495,296
  5. Step 5: Solve for x
    x = 1,289,278,495,296/538,572
  6. Step 6: Final answer
    x = 2,393,883.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.