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Finding the Third Proportional to 664,629 and 974,736

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Solution

The third proportional to 664,629 and 974,736 is: 1,429,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,629 : 974,736 = 974,736 : x
  2. Step 2: Convert to fraction form
    664,629/974,736 = 974,736/x
  3. Step 3: Cross multiply
    664,629x = 974,736 × 974,736
  4. Step 4: Simplify right side
    664,629x = 950,110,269,696
  5. Step 5: Solve for x
    x = 950,110,269,696/664,629
  6. Step 6: Final answer
    x = 1,429,534.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.