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Finding the Third Proportional to 665,094 and 1,454,604

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Solution

The third proportional to 665,094 and 1,454,604 is: 3,181,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,094 : 1,454,604 = 1,454,604 : x
  2. Step 2: Convert to fraction form
    665,094/1,454,604 = 1,454,604/x
  3. Step 3: Cross multiply
    665,094x = 1,454,604 × 1,454,604
  4. Step 4: Simplify right side
    665,094x = 2,115,872,796,816
  5. Step 5: Solve for x
    x = 2,115,872,796,816/665,094
  6. Step 6: Final answer
    x = 3,181,313.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.