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Finding the Third Proportional to 900,009 and 1,901,184

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Solution

The third proportional to 900,009 and 1,901,184 is: 4,016,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,009 : 1,901,184 = 1,901,184 : x
  2. Step 2: Convert to fraction form
    900,009/1,901,184 = 1,901,184/x
  3. Step 3: Cross multiply
    900,009x = 1,901,184 × 1,901,184
  4. Step 4: Simplify right side
    900,009x = 3,614,500,601,856
  5. Step 5: Solve for x
    x = 3,614,500,601,856/900,009
  6. Step 6: Final answer
    x = 4,016,071.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.