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Finding the Third Proportional to 830,425.50 and 1,804,920

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Solution

The third proportional to 830,425.50 and 1,804,920 is: 3,922,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,425.50 : 1,804,920 = 1,804,920 : x
  2. Step 2: Convert to fraction form
    830,425.50/1,804,920 = 1,804,920/x
  3. Step 3: Cross multiply
    830,425.50x = 1,804,920 × 1,804,920
  4. Step 4: Simplify right side
    830,425.50x = 3,257,736,206,400
  5. Step 5: Solve for x
    x = 3,257,736,206,400/830,425.50
  6. Step 6: Final answer
    x = 3,922,972.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.