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Finding the Third Proportional to 2,102,391 and 4,611,726

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Solution

The third proportional to 2,102,391 and 4,611,726 is: 10,116,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,391 : 4,611,726 = 4,611,726 : x
  2. Step 2: Convert to fraction form
    2,102,391/4,611,726 = 4,611,726/x
  3. Step 3: Cross multiply
    2,102,391x = 4,611,726 × 4,611,726
  4. Step 4: Simplify right side
    2,102,391x = 21,268,016,699,076
  5. Step 5: Solve for x
    x = 21,268,016,699,076/2,102,391
  6. Step 6: Final answer
    x = 10,116,109.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.