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Finding the Third Proportional to 790,523 and 1,757,902

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Solution

The third proportional to 790,523 and 1,757,902 is: 3,909,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,523 : 1,757,902 = 1,757,902 : x
  2. Step 2: Convert to fraction form
    790,523/1,757,902 = 1,757,902/x
  3. Step 3: Cross multiply
    790,523x = 1,757,902 × 1,757,902
  4. Step 4: Simplify right side
    790,523x = 3,090,219,441,604
  5. Step 5: Solve for x
    x = 3,090,219,441,604/790,523
  6. Step 6: Final answer
    x = 3,909,082.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.