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Finding the Third Proportional to 691,955 and 973,999

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Solution

The third proportional to 691,955 and 973,999 is: 1,371,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,955 : 973,999 = 973,999 : x
  2. Step 2: Convert to fraction form
    691,955/973,999 = 973,999/x
  3. Step 3: Cross multiply
    691,955x = 973,999 × 973,999
  4. Step 4: Simplify right side
    691,955x = 948,674,052,001
  5. Step 5: Solve for x
    x = 948,674,052,001/691,955
  6. Step 6: Final answer
    x = 1,371,005.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.