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Finding the Third Proportional to 2,520,520 and 3,874,213

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Solution

The third proportional to 2,520,520 and 3,874,213 is: 5,954,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520,520 : 3,874,213 = 3,874,213 : x
  2. Step 2: Convert to fraction form
    2,520,520/3,874,213 = 3,874,213/x
  3. Step 3: Cross multiply
    2,520,520x = 3,874,213 × 3,874,213
  4. Step 4: Simplify right side
    2,520,520x = 15,009,526,369,369
  5. Step 5: Solve for x
    x = 15,009,526,369,369/2,520,520
  6. Step 6: Final answer
    x = 5,954,932.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.