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Finding the Third Proportional to 469,161 and 1,029,654

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Solution

The third proportional to 469,161 and 1,029,654 is: 2,259,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,161 : 1,029,654 = 1,029,654 : x
  2. Step 2: Convert to fraction form
    469,161/1,029,654 = 1,029,654/x
  3. Step 3: Cross multiply
    469,161x = 1,029,654 × 1,029,654
  4. Step 4: Simplify right side
    469,161x = 1,060,187,359,716
  5. Step 5: Solve for x
    x = 1,060,187,359,716/469,161
  6. Step 6: Final answer
    x = 2,259,751.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.