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Finding the Third Proportional to 600,586 and 1,319,294

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Solution

The third proportional to 600,586 and 1,319,294 is: 2,898,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,586 : 1,319,294 = 1,319,294 : x
  2. Step 2: Convert to fraction form
    600,586/1,319,294 = 1,319,294/x
  3. Step 3: Cross multiply
    600,586x = 1,319,294 × 1,319,294
  4. Step 4: Simplify right side
    600,586x = 1,740,536,658,436
  5. Step 5: Solve for x
    x = 1,740,536,658,436/600,586
  6. Step 6: Final answer
    x = 2,898,063.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.