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Finding the Third Proportional to 935,846 and 1,916,024

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Solution

The third proportional to 935,846 and 1,916,024 is: 3,922,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,846 : 1,916,024 = 1,916,024 : x
  2. Step 2: Convert to fraction form
    935,846/1,916,024 = 1,916,024/x
  3. Step 3: Cross multiply
    935,846x = 1,916,024 × 1,916,024
  4. Step 4: Simplify right side
    935,846x = 3,671,147,968,576
  5. Step 5: Solve for x
    x = 3,671,147,968,576/935,846
  6. Step 6: Final answer
    x = 3,922,812.05

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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.