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Finding the Third Proportional to 2,102,184 and 4,611,310

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Solution

The third proportional to 2,102,184 and 4,611,310 is: 10,115,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,184 : 4,611,310 = 4,611,310 : x
  2. Step 2: Convert to fraction form
    2,102,184/4,611,310 = 4,611,310/x
  3. Step 3: Cross multiply
    2,102,184x = 4,611,310 × 4,611,310
  4. Step 4: Simplify right side
    2,102,184x = 21,264,179,916,100
  5. Step 5: Solve for x
    x = 21,264,179,916,100/2,102,184
  6. Step 6: Final answer
    x = 10,115,280.07

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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.