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Finding the Third Proportional to 492,504 and 1,060,336

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Solution

The third proportional to 492,504 and 1,060,336 is: 2,282,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,504 : 1,060,336 = 1,060,336 : x
  2. Step 2: Convert to fraction form
    492,504/1,060,336 = 1,060,336/x
  3. Step 3: Cross multiply
    492,504x = 1,060,336 × 1,060,336
  4. Step 4: Simplify right side
    492,504x = 1,124,312,432,896
  5. Step 5: Solve for x
    x = 1,124,312,432,896/492,504
  6. Step 6: Final answer
    x = 2,282,849.34

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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.