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Finding the Third Proportional to 1,078,438 and 1,650,381

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Solution

The third proportional to 1,078,438 and 1,650,381 is: 2,525,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,438 : 1,650,381 = 1,650,381 : x
  2. Step 2: Convert to fraction form
    1,078,438/1,650,381 = 1,650,381/x
  3. Step 3: Cross multiply
    1,078,438x = 1,650,381 × 1,650,381
  4. Step 4: Simplify right side
    1,078,438x = 2,723,757,445,161
  5. Step 5: Solve for x
    x = 2,723,757,445,161/1,078,438
  6. Step 6: Final answer
    x = 2,525,650.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.