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Finding the Third Proportional to 691,953 and 973,996

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Solution

The third proportional to 691,953 and 973,996 is: 1,371,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,953 : 973,996 = 973,996 : x
  2. Step 2: Convert to fraction form
    691,953/973,996 = 973,996/x
  3. Step 3: Cross multiply
    691,953x = 973,996 × 973,996
  4. Step 4: Simplify right side
    691,953x = 948,668,208,016
  5. Step 5: Solve for x
    x = 948,668,208,016/691,953
  6. Step 6: Final answer
    x = 1,371,000.93

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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.