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Finding the Third Proportional to 3,097,938 and 4,461,903

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Solution

The third proportional to 3,097,938 and 4,461,903 is: 6,426,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,938 : 4,461,903 = 4,461,903 : x
  2. Step 2: Convert to fraction form
    3,097,938/4,461,903 = 4,461,903/x
  3. Step 3: Cross multiply
    3,097,938x = 4,461,903 × 4,461,903
  4. Step 4: Simplify right side
    3,097,938x = 19,908,578,381,409
  5. Step 5: Solve for x
    x = 19,908,578,381,409/3,097,938
  6. Step 6: Final answer
    x = 6,426,396.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.