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Finding the Third Proportional to 742,635 and 1,115,586

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Solution

The third proportional to 742,635 and 1,115,586 is: 1,675,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,635 : 1,115,586 = 1,115,586 : x
  2. Step 2: Convert to fraction form
    742,635/1,115,586 = 1,115,586/x
  3. Step 3: Cross multiply
    742,635x = 1,115,586 × 1,115,586
  4. Step 4: Simplify right side
    742,635x = 1,244,532,123,396
  5. Step 5: Solve for x
    x = 1,244,532,123,396/742,635
  6. Step 6: Final answer
    x = 1,675,832.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.