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Finding the Third Proportional to 665,163 and 1,182,582

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Solution

The third proportional to 665,163 and 1,182,582 is: 2,102,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,163 : 1,182,582 = 1,182,582 : x
  2. Step 2: Convert to fraction form
    665,163/1,182,582 = 1,182,582/x
  3. Step 3: Cross multiply
    665,163x = 1,182,582 × 1,182,582
  4. Step 4: Simplify right side
    665,163x = 1,398,500,186,724
  5. Step 5: Solve for x
    x = 1,398,500,186,724/665,163
  6. Step 6: Final answer
    x = 2,102,492.45

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.