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Finding the Third Proportional to 738,365 and 1,610,134

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Solution

The third proportional to 738,365 and 1,610,134 is: 3,511,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,365 : 1,610,134 = 1,610,134 : x
  2. Step 2: Convert to fraction form
    738,365/1,610,134 = 1,610,134/x
  3. Step 3: Cross multiply
    738,365x = 1,610,134 × 1,610,134
  4. Step 4: Simplify right side
    738,365x = 2,592,531,497,956
  5. Step 5: Solve for x
    x = 2,592,531,497,956/738,365
  6. Step 6: Final answer
    x = 3,511,178.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.