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Finding the Third Proportional to 535,443 and 1,168,553

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Solution

The third proportional to 535,443 and 1,168,553 is: 2,550,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,443 : 1,168,553 = 1,168,553 : x
  2. Step 2: Convert to fraction form
    535,443/1,168,553 = 1,168,553/x
  3. Step 3: Cross multiply
    535,443x = 1,168,553 × 1,168,553
  4. Step 4: Simplify right side
    535,443x = 1,365,516,113,809
  5. Step 5: Solve for x
    x = 1,365,516,113,809/535,443
  6. Step 6: Final answer
    x = 2,550,254.86

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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.