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Finding the Third Proportional to 1,780,106 and 2,754,634

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Solution

The third proportional to 1,780,106 and 2,754,634 is: 4,262,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,106 : 2,754,634 = 2,754,634 : x
  2. Step 2: Convert to fraction form
    1,780,106/2,754,634 = 2,754,634/x
  3. Step 3: Cross multiply
    1,780,106x = 2,754,634 × 2,754,634
  4. Step 4: Simplify right side
    1,780,106x = 7,588,008,473,956
  5. Step 5: Solve for x
    x = 7,588,008,473,956/1,780,106
  6. Step 6: Final answer
    x = 4,262,672.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.