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Finding the Third Proportional to 743,634 and 1,051,299

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Solution

The third proportional to 743,634 and 1,051,299 is: 1,486,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,634 : 1,051,299 = 1,051,299 : x
  2. Step 2: Convert to fraction form
    743,634/1,051,299 = 1,051,299/x
  3. Step 3: Cross multiply
    743,634x = 1,051,299 × 1,051,299
  4. Step 4: Simplify right side
    743,634x = 1,105,229,587,401
  5. Step 5: Solve for x
    x = 1,105,229,587,401/743,634
  6. Step 6: Final answer
    x = 1,486,254.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.