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Finding the Third Proportional to 447,514.88 and 972,941.63

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Solution

The third proportional to 447,514.88 and 972,941.63 is: 2,115,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,514.88 : 972,941.63 = 972,941.63 : x
  2. Step 2: Convert to fraction form
    447,514.88/972,941.63 = 972,941.63/x
  3. Step 3: Cross multiply
    447,514.88x = 972,941.63 × 972,941.63
  4. Step 4: Simplify right side
    447,514.88x = 946,615,405,657.64
  5. Step 5: Solve for x
    x = 946,615,405,657.64/447,514.88
  6. Step 6: Final answer
    x = 2,115,271.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.