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Finding the Third Proportional to 635,654 and 942,485

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Solution

The third proportional to 635,654 and 942,485 is: 1,397,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,654 : 942,485 = 942,485 : x
  2. Step 2: Convert to fraction form
    635,654/942,485 = 942,485/x
  3. Step 3: Cross multiply
    635,654x = 942,485 × 942,485
  4. Step 4: Simplify right side
    635,654x = 888,277,975,225
  5. Step 5: Solve for x
    x = 888,277,975,225/635,654
  6. Step 6: Final answer
    x = 1,397,423.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.