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Finding the Third Proportional to 670,164 and 1,456,680

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Solution

The third proportional to 670,164 and 1,456,680 is: 3,166,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,164 : 1,456,680 = 1,456,680 : x
  2. Step 2: Convert to fraction form
    670,164/1,456,680 = 1,456,680/x
  3. Step 3: Cross multiply
    670,164x = 1,456,680 × 1,456,680
  4. Step 4: Simplify right side
    670,164x = 2,121,916,622,400
  5. Step 5: Solve for x
    x = 2,121,916,622,400/670,164
  6. Step 6: Final answer
    x = 3,166,264.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.