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Finding the Third Proportional to 650,551 and 1,409,702

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Solution

The third proportional to 650,551 and 1,409,702 is: 3,054,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,551 : 1,409,702 = 1,409,702 : x
  2. Step 2: Convert to fraction form
    650,551/1,409,702 = 1,409,702/x
  3. Step 3: Cross multiply
    650,551x = 1,409,702 × 1,409,702
  4. Step 4: Simplify right side
    650,551x = 1,987,259,728,804
  5. Step 5: Solve for x
    x = 1,987,259,728,804/650,551
  6. Step 6: Final answer
    x = 3,054,733.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.