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Finding the Third Proportional to 650,966 and 985,629

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Solution

The third proportional to 650,966 and 985,629 is: 1,492,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,966 : 985,629 = 985,629 : x
  2. Step 2: Convert to fraction form
    650,966/985,629 = 985,629/x
  3. Step 3: Cross multiply
    650,966x = 985,629 × 985,629
  4. Step 4: Simplify right side
    650,966x = 971,464,525,641
  5. Step 5: Solve for x
    x = 971,464,525,641/650,966
  6. Step 6: Final answer
    x = 1,492,342.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.