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Finding the Third Proportional to 2,154,906 and 4,688,154

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Solution

The third proportional to 2,154,906 and 4,688,154 is: 10,199,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,906 : 4,688,154 = 4,688,154 : x
  2. Step 2: Convert to fraction form
    2,154,906/4,688,154 = 4,688,154/x
  3. Step 3: Cross multiply
    2,154,906x = 4,688,154 × 4,688,154
  4. Step 4: Simplify right side
    2,154,906x = 21,978,787,927,716
  5. Step 5: Solve for x
    x = 21,978,787,927,716/2,154,906
  6. Step 6: Final answer
    x = 10,199,418.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.