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Finding the Third Proportional to 935,825.63 and 1,915,995.38

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Solution

The third proportional to 935,825.63 and 1,915,995.38 is: 3,922,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,825.63 : 1,915,995.38 = 1,915,995.38 : x
  2. Step 2: Convert to fraction form
    935,825.63/1,915,995.38 = 1,915,995.38/x
  3. Step 3: Cross multiply
    935,825.63x = 1,915,995.38 × 1,915,995.38
  4. Step 4: Simplify right side
    935,825.63x = 3,671,038,277,021.39
  5. Step 5: Solve for x
    x = 3,671,038,277,021.39/935,825.63
  6. Step 6: Final answer
    x = 3,922,780.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.