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Finding the Third Proportional to 852,379 and 1,294,120

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Solution

The third proportional to 852,379 and 1,294,120 is: 1,964,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,379 : 1,294,120 = 1,294,120 : x
  2. Step 2: Convert to fraction form
    852,379/1,294,120 = 1,294,120/x
  3. Step 3: Cross multiply
    852,379x = 1,294,120 × 1,294,120
  4. Step 4: Simplify right side
    852,379x = 1,674,746,574,400
  5. Step 5: Solve for x
    x = 1,674,746,574,400/852,379
  6. Step 6: Final answer
    x = 1,964,790.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.