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Finding the Third Proportional to 1,016,109 and 1,496,091

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Solution

The third proportional to 1,016,109 and 1,496,091 is: 2,202,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,109 : 1,496,091 = 1,496,091 : x
  2. Step 2: Convert to fraction form
    1,016,109/1,496,091 = 1,496,091/x
  3. Step 3: Cross multiply
    1,016,109x = 1,496,091 × 1,496,091
  4. Step 4: Simplify right side
    1,016,109x = 2,238,288,280,281
  5. Step 5: Solve for x
    x = 2,238,288,280,281/1,016,109
  6. Step 6: Final answer
    x = 2,202,803.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.