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Finding the Third Proportional to 1,828,906.88 and 4,019,828.06

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Solution

The third proportional to 1,828,906.88 and 4,019,828.06 is: 8,835,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,906.88 : 4,019,828.06 = 4,019,828.06 : x
  2. Step 2: Convert to fraction form
    1,828,906.88/4,019,828.06 = 4,019,828.06/x
  3. Step 3: Cross multiply
    1,828,906.88x = 4,019,828.06 × 4,019,828.06
  4. Step 4: Simplify right side
    1,828,906.88x = 16,159,017,652,062.50
  5. Step 5: Solve for x
    x = 16,159,017,652,062.50/1,828,906.88
  6. Step 6: Final answer
    x = 8,835,341.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.