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Finding the Third Proportional to 651,837.38 and 973,974.38

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Solution

The third proportional to 651,837.38 and 973,974.38 is: 1,455,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,837.38 : 973,974.38 = 973,974.38 : x
  2. Step 2: Convert to fraction form
    651,837.38/973,974.38 = 973,974.38/x
  3. Step 3: Cross multiply
    651,837.38x = 973,974.38 × 973,974.38
  4. Step 4: Simplify right side
    651,837.38x = 948,626,083,156.64
  5. Step 5: Solve for x
    x = 948,626,083,156.64/651,837.38
  6. Step 6: Final answer
    x = 1,455,310.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.