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Finding the Third Proportional to 822,048 and 1,289,880

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Solution

The third proportional to 822,048 and 1,289,880 is: 2,023,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,048 : 1,289,880 = 1,289,880 : x
  2. Step 2: Convert to fraction form
    822,048/1,289,880 = 1,289,880/x
  3. Step 3: Cross multiply
    822,048x = 1,289,880 × 1,289,880
  4. Step 4: Simplify right side
    822,048x = 1,663,790,414,400
  5. Step 5: Solve for x
    x = 1,663,790,414,400/822,048
  6. Step 6: Final answer
    x = 2,023,957.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.