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Finding the Third Proportional to 765,371 and 1,670,638

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Solution

The third proportional to 765,371 and 1,670,638 is: 3,646,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,371 : 1,670,638 = 1,670,638 : x
  2. Step 2: Convert to fraction form
    765,371/1,670,638 = 1,670,638/x
  3. Step 3: Cross multiply
    765,371x = 1,670,638 × 1,670,638
  4. Step 4: Simplify right side
    765,371x = 2,791,031,327,044
  5. Step 5: Solve for x
    x = 2,791,031,327,044/765,371
  6. Step 6: Final answer
    x = 3,646,638.46

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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.