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Finding the Third Proportional to 826,316 and 1,751,848

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Solution

The third proportional to 826,316 and 1,751,848 is: 3,714,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,316 : 1,751,848 = 1,751,848 : x
  2. Step 2: Convert to fraction form
    826,316/1,751,848 = 1,751,848/x
  3. Step 3: Cross multiply
    826,316x = 1,751,848 × 1,751,848
  4. Step 4: Simplify right side
    826,316x = 3,068,971,415,104
  5. Step 5: Solve for x
    x = 3,068,971,415,104/826,316
  6. Step 6: Final answer
    x = 3,714,040.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.