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Finding the Third Proportional to 414,804 and 909,960

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Solution

The third proportional to 414,804 and 909,960 is: 1,996,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,804 : 909,960 = 909,960 : x
  2. Step 2: Convert to fraction form
    414,804/909,960 = 909,960/x
  3. Step 3: Cross multiply
    414,804x = 909,960 × 909,960
  4. Step 4: Simplify right side
    414,804x = 828,027,201,600
  5. Step 5: Solve for x
    x = 828,027,201,600/414,804
  6. Step 6: Final answer
    x = 1,996,189.05

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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.