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Finding the Third Proportional to 679,825 and 952,988

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Solution

The third proportional to 679,825 and 952,988 is: 1,335,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,825 : 952,988 = 952,988 : x
  2. Step 2: Convert to fraction form
    679,825/952,988 = 952,988/x
  3. Step 3: Cross multiply
    679,825x = 952,988 × 952,988
  4. Step 4: Simplify right side
    679,825x = 908,186,128,144
  5. Step 5: Solve for x
    x = 908,186,128,144/679,825
  6. Step 6: Final answer
    x = 1,335,911.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.