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Finding the Third Proportional to 421,956 and 909,896.63

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Solution

The third proportional to 421,956 and 909,896.63 is: 1,962,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,956 : 909,896.63 = 909,896.63 : x
  2. Step 2: Convert to fraction form
    421,956/909,896.63 = 909,896.63/x
  3. Step 3: Cross multiply
    421,956x = 909,896.63 × 909,896.63
  4. Step 4: Simplify right side
    421,956x = 827,911,868,186.39
  5. Step 5: Solve for x
    x = 827,911,868,186.39/421,956
  6. Step 6: Final answer
    x = 1,962,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.