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Finding the Third Proportional to 649,770 and 1,004,166

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Solution

The third proportional to 649,770 and 1,004,166 is: 1,551,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,770 : 1,004,166 = 1,004,166 : x
  2. Step 2: Convert to fraction form
    649,770/1,004,166 = 1,004,166/x
  3. Step 3: Cross multiply
    649,770x = 1,004,166 × 1,004,166
  4. Step 4: Simplify right side
    649,770x = 1,008,349,355,556
  5. Step 5: Solve for x
    x = 1,008,349,355,556/649,770
  6. Step 6: Final answer
    x = 1,551,855.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.