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Finding the Third Proportional to 946,008 and 2,031,984

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Solution

The third proportional to 946,008 and 2,031,984 is: 4,364,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,008 : 2,031,984 = 2,031,984 : x
  2. Step 2: Convert to fraction form
    946,008/2,031,984 = 2,031,984/x
  3. Step 3: Cross multiply
    946,008x = 2,031,984 × 2,031,984
  4. Step 4: Simplify right side
    946,008x = 4,128,958,976,256
  5. Step 5: Solve for x
    x = 4,128,958,976,256/946,008
  6. Step 6: Final answer
    x = 4,364,613.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.