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Finding the Third Proportional to 3,097,942 and 4,461,908

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Solution

The third proportional to 3,097,942 and 4,461,908 is: 6,426,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,942 : 4,461,908 = 4,461,908 : x
  2. Step 2: Convert to fraction form
    3,097,942/4,461,908 = 4,461,908/x
  3. Step 3: Cross multiply
    3,097,942x = 4,461,908 × 4,461,908
  4. Step 4: Simplify right side
    3,097,942x = 19,908,623,000,464
  5. Step 5: Solve for x
    x = 19,908,623,000,464/3,097,942
  6. Step 6: Final answer
    x = 6,426,402.75

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