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Finding the Third Proportional to 1,037,106 and 2,218,074

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Solution

The third proportional to 1,037,106 and 2,218,074 is: 4,743,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,106 : 2,218,074 = 2,218,074 : x
  2. Step 2: Convert to fraction form
    1,037,106/2,218,074 = 2,218,074/x
  3. Step 3: Cross multiply
    1,037,106x = 2,218,074 × 2,218,074
  4. Step 4: Simplify right side
    1,037,106x = 4,919,852,269,476
  5. Step 5: Solve for x
    x = 4,919,852,269,476/1,037,106
  6. Step 6: Final answer
    x = 4,743,827.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.