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Finding the Third Proportional to 535,060 and 1,114,407

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Solution

The third proportional to 535,060 and 1,114,407 is: 2,321,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,060 : 1,114,407 = 1,114,407 : x
  2. Step 2: Convert to fraction form
    535,060/1,114,407 = 1,114,407/x
  3. Step 3: Cross multiply
    535,060x = 1,114,407 × 1,114,407
  4. Step 4: Simplify right side
    535,060x = 1,241,902,961,649
  5. Step 5: Solve for x
    x = 1,241,902,961,649/535,060
  6. Step 6: Final answer
    x = 2,321,053.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.