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Finding the Third Proportional to 1,954,948 and 2,862,438

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Solution

The third proportional to 1,954,948 and 2,862,438 is: 4,191,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,948 : 2,862,438 = 2,862,438 : x
  2. Step 2: Convert to fraction form
    1,954,948/2,862,438 = 2,862,438/x
  3. Step 3: Cross multiply
    1,954,948x = 2,862,438 × 2,862,438
  4. Step 4: Simplify right side
    1,954,948x = 8,193,551,303,844
  5. Step 5: Solve for x
    x = 8,193,551,303,844/1,954,948
  6. Step 6: Final answer
    x = 4,191,186.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.