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Finding the Third Proportional to 670,758 and 997,020

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Solution

The third proportional to 670,758 and 997,020 is: 1,481,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,758 : 997,020 = 997,020 : x
  2. Step 2: Convert to fraction form
    670,758/997,020 = 997,020/x
  3. Step 3: Cross multiply
    670,758x = 997,020 × 997,020
  4. Step 4: Simplify right side
    670,758x = 994,048,880,400
  5. Step 5: Solve for x
    x = 994,048,880,400/670,758
  6. Step 6: Final answer
    x = 1,481,978.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.