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Finding the Third Proportional to 592,830 and 919,337

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Solution

The third proportional to 592,830 and 919,337 is: 1,425,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,830 : 919,337 = 919,337 : x
  2. Step 2: Convert to fraction form
    592,830/919,337 = 919,337/x
  3. Step 3: Cross multiply
    592,830x = 919,337 × 919,337
  4. Step 4: Simplify right side
    592,830x = 845,180,519,569
  5. Step 5: Solve for x
    x = 845,180,519,569/592,830
  6. Step 6: Final answer
    x = 1,425,670.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.