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Finding the Third Proportional to 762,033 and 1,679,559

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Solution

The third proportional to 762,033 and 1,679,559 is: 3,701,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,033 : 1,679,559 = 1,679,559 : x
  2. Step 2: Convert to fraction form
    762,033/1,679,559 = 1,679,559/x
  3. Step 3: Cross multiply
    762,033x = 1,679,559 × 1,679,559
  4. Step 4: Simplify right side
    762,033x = 2,820,918,434,481
  5. Step 5: Solve for x
    x = 2,820,918,434,481/762,033
  6. Step 6: Final answer
    x = 3,701,832.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.