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Finding the Third Proportional to 852,045 and 1,836,951

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Solution

The third proportional to 852,045 and 1,836,951 is: 3,960,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,045 : 1,836,951 = 1,836,951 : x
  2. Step 2: Convert to fraction form
    852,045/1,836,951 = 1,836,951/x
  3. Step 3: Cross multiply
    852,045x = 1,836,951 × 1,836,951
  4. Step 4: Simplify right side
    852,045x = 3,374,388,976,401
  5. Step 5: Solve for x
    x = 3,374,388,976,401/852,045
  6. Step 6: Final answer
    x = 3,960,341.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.