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Finding the Third Proportional to 1,016,768 and 2,210,602

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Solution

The third proportional to 1,016,768 and 2,210,602 is: 4,806,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,768 : 2,210,602 = 2,210,602 : x
  2. Step 2: Convert to fraction form
    1,016,768/2,210,602 = 2,210,602/x
  3. Step 3: Cross multiply
    1,016,768x = 2,210,602 × 2,210,602
  4. Step 4: Simplify right side
    1,016,768x = 4,886,761,202,404
  5. Step 5: Solve for x
    x = 4,886,761,202,404/1,016,768
  6. Step 6: Final answer
    x = 4,806,171.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.