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Finding the Third Proportional to 2,392,705 and 3,677,753

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Solution

The third proportional to 2,392,705 and 3,677,753 is: 5,652,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,705 : 3,677,753 = 3,677,753 : x
  2. Step 2: Convert to fraction form
    2,392,705/3,677,753 = 3,677,753/x
  3. Step 3: Cross multiply
    2,392,705x = 3,677,753 × 3,677,753
  4. Step 4: Simplify right side
    2,392,705x = 13,525,867,129,009
  5. Step 5: Solve for x
    x = 13,525,867,129,009/2,392,705
  6. Step 6: Final answer
    x = 5,652,960.62

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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.