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Finding the Third Proportional to 2,154,911 and 4,688,163

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Solution

The third proportional to 2,154,911 and 4,688,163 is: 10,199,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,911 : 4,688,163 = 4,688,163 : x
  2. Step 2: Convert to fraction form
    2,154,911/4,688,163 = 4,688,163/x
  3. Step 3: Cross multiply
    2,154,911x = 4,688,163 × 4,688,163
  4. Step 4: Simplify right side
    2,154,911x = 21,978,872,314,569
  5. Step 5: Solve for x
    x = 21,978,872,314,569/2,154,911
  6. Step 6: Final answer
    x = 10,199,433.90

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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.