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Finding the Third Proportional to 1,107,105 and 1,654,894

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Solution

The third proportional to 1,107,105 and 1,654,894 is: 2,473,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,105 : 1,654,894 = 1,654,894 : x
  2. Step 2: Convert to fraction form
    1,107,105/1,654,894 = 1,654,894/x
  3. Step 3: Cross multiply
    1,107,105x = 1,654,894 × 1,654,894
  4. Step 4: Simplify right side
    1,107,105x = 2,738,674,151,236
  5. Step 5: Solve for x
    x = 2,738,674,151,236/1,107,105
  6. Step 6: Final answer
    x = 2,473,725.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.