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Finding the Third Proportional to 900,004 and 1,901,176

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Solution

The third proportional to 900,004 and 1,901,176 is: 4,016,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,004 : 1,901,176 = 1,901,176 : x
  2. Step 2: Convert to fraction form
    900,004/1,901,176 = 1,901,176/x
  3. Step 3: Cross multiply
    900,004x = 1,901,176 × 1,901,176
  4. Step 4: Simplify right side
    900,004x = 3,614,470,182,976
  5. Step 5: Solve for x
    x = 3,614,470,182,976/900,004
  6. Step 6: Final answer
    x = 4,016,060.13

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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.