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Finding the Third Proportional to 1,496,034 and 3,206,394

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Solution

The third proportional to 1,496,034 and 3,206,394 is: 6,872,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,034 : 3,206,394 = 3,206,394 : x
  2. Step 2: Convert to fraction form
    1,496,034/3,206,394 = 3,206,394/x
  3. Step 3: Cross multiply
    1,496,034x = 3,206,394 × 3,206,394
  4. Step 4: Simplify right side
    1,496,034x = 10,280,962,483,236
  5. Step 5: Solve for x
    x = 10,280,962,483,236/1,496,034
  6. Step 6: Final answer
    x = 6,872,144.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.