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Finding the Third Proportional to 2,574,205 and 3,894,522

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Solution

The third proportional to 2,574,205 and 3,894,522 is: 5,892,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,205 : 3,894,522 = 3,894,522 : x
  2. Step 2: Convert to fraction form
    2,574,205/3,894,522 = 3,894,522/x
  3. Step 3: Cross multiply
    2,574,205x = 3,894,522 × 3,894,522
  4. Step 4: Simplify right side
    2,574,205x = 15,167,301,608,484
  5. Step 5: Solve for x
    x = 15,167,301,608,484/2,574,205
  6. Step 6: Final answer
    x = 5,892,033.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.