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Finding the Third Proportional to 903,413 and 1,964,290

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Solution

The third proportional to 903,413 and 1,964,290 is: 4,270,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,413 : 1,964,290 = 1,964,290 : x
  2. Step 2: Convert to fraction form
    903,413/1,964,290 = 1,964,290/x
  3. Step 3: Cross multiply
    903,413x = 1,964,290 × 1,964,290
  4. Step 4: Simplify right side
    903,413x = 3,858,435,204,100
  5. Step 5: Solve for x
    x = 3,858,435,204,100/903,413
  6. Step 6: Final answer
    x = 4,270,953.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.