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Finding the Third Proportional to 826,663 and 1,170,049

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Solution

The third proportional to 826,663 and 1,170,049 is: 1,656,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,663 : 1,170,049 = 1,170,049 : x
  2. Step 2: Convert to fraction form
    826,663/1,170,049 = 1,170,049/x
  3. Step 3: Cross multiply
    826,663x = 1,170,049 × 1,170,049
  4. Step 4: Simplify right side
    826,663x = 1,369,014,662,401
  5. Step 5: Solve for x
    x = 1,369,014,662,401/826,663
  6. Step 6: Final answer
    x = 1,656,073.47

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.