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Finding the Third Proportional to 835,410 and 1,345,132

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Solution

The third proportional to 835,410 and 1,345,132 is: 2,165,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,410 : 1,345,132 = 1,345,132 : x
  2. Step 2: Convert to fraction form
    835,410/1,345,132 = 1,345,132/x
  3. Step 3: Cross multiply
    835,410x = 1,345,132 × 1,345,132
  4. Step 4: Simplify right side
    835,410x = 1,809,380,097,424
  5. Step 5: Solve for x
    x = 1,809,380,097,424/835,410
  6. Step 6: Final answer
    x = 2,165,858.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.