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Finding the Third Proportional to 538,014 and 1,180,516

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Solution

The third proportional to 538,014 and 1,180,516 is: 2,590,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,014 : 1,180,516 = 1,180,516 : x
  2. Step 2: Convert to fraction form
    538,014/1,180,516 = 1,180,516/x
  3. Step 3: Cross multiply
    538,014x = 1,180,516 × 1,180,516
  4. Step 4: Simplify right side
    538,014x = 1,393,618,026,256
  5. Step 5: Solve for x
    x = 1,393,618,026,256/538,014
  6. Step 6: Final answer
    x = 2,590,300.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.