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Finding the Third Proportional to 2,113,764 and 4,631,515

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Solution

The third proportional to 2,113,764 and 4,631,515 is: 10,148,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,764 : 4,631,515 = 4,631,515 : x
  2. Step 2: Convert to fraction form
    2,113,764/4,631,515 = 4,631,515/x
  3. Step 3: Cross multiply
    2,113,764x = 4,631,515 × 4,631,515
  4. Step 4: Simplify right side
    2,113,764x = 21,450,931,195,225
  5. Step 5: Solve for x
    x = 21,450,931,195,225/2,113,764
  6. Step 6: Final answer
    x = 10,148,214.84

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Why These Related Problems?

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