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Finding the Third Proportional to 745,851 and 1,609,638

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Solution

The third proportional to 745,851 and 1,609,638 is: 3,473,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,851 : 1,609,638 = 1,609,638 : x
  2. Step 2: Convert to fraction form
    745,851/1,609,638 = 1,609,638/x
  3. Step 3: Cross multiply
    745,851x = 1,609,638 × 1,609,638
  4. Step 4: Simplify right side
    745,851x = 2,590,934,491,044
  5. Step 5: Solve for x
    x = 2,590,934,491,044/745,851
  6. Step 6: Final answer
    x = 3,473,796.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.