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Finding the Third Proportional to 3,019,046 and 6,597,964

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Solution

The third proportional to 3,019,046 and 6,597,964 is: 14,419,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019,046 : 6,597,964 = 6,597,964 : x
  2. Step 2: Convert to fraction form
    3,019,046/6,597,964 = 6,597,964/x
  3. Step 3: Cross multiply
    3,019,046x = 6,597,964 × 6,597,964
  4. Step 4: Simplify right side
    3,019,046x = 43,533,128,945,296
  5. Step 5: Solve for x
    x = 43,533,128,945,296/3,019,046
  6. Step 6: Final answer
    x = 14,419,498.39

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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.