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Finding the Third Proportional to 985,083 and 2,123,958

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Solution

The third proportional to 985,083 and 2,123,958 is: 4,579,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,083 : 2,123,958 = 2,123,958 : x
  2. Step 2: Convert to fraction form
    985,083/2,123,958 = 2,123,958/x
  3. Step 3: Cross multiply
    985,083x = 2,123,958 × 2,123,958
  4. Step 4: Simplify right side
    985,083x = 4,511,197,585,764
  5. Step 5: Solve for x
    x = 4,511,197,585,764/985,083
  6. Step 6: Final answer
    x = 4,579,510.14

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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.