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Finding the Third Proportional to 847,041 and 1,823,842.50

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Solution

The third proportional to 847,041 and 1,823,842.50 is: 3,927,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,041 : 1,823,842.50 = 1,823,842.50 : x
  2. Step 2: Convert to fraction form
    847,041/1,823,842.50 = 1,823,842.50/x
  3. Step 3: Cross multiply
    847,041x = 1,823,842.50 × 1,823,842.50
  4. Step 4: Simplify right side
    847,041x = 3,326,401,464,806.25
  5. Step 5: Solve for x
    x = 3,326,401,464,806.25/847,041
  6. Step 6: Final answer
    x = 3,927,084.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.