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Finding the Third Proportional to 830,394 and 1,819,236

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Solution

The third proportional to 830,394 and 1,819,236 is: 3,985,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,394 : 1,819,236 = 1,819,236 : x
  2. Step 2: Convert to fraction form
    830,394/1,819,236 = 1,819,236/x
  3. Step 3: Cross multiply
    830,394x = 1,819,236 × 1,819,236
  4. Step 4: Simplify right side
    830,394x = 3,309,619,623,696
  5. Step 5: Solve for x
    x = 3,309,619,623,696/830,394
  6. Step 6: Final answer
    x = 3,985,601.56

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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.