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Finding the Third Proportional to 592,828 and 919,334

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Solution

The third proportional to 592,828 and 919,334 is: 1,425,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,828 : 919,334 = 919,334 : x
  2. Step 2: Convert to fraction form
    592,828/919,334 = 919,334/x
  3. Step 3: Cross multiply
    592,828x = 919,334 × 919,334
  4. Step 4: Simplify right side
    592,828x = 845,175,003,556
  5. Step 5: Solve for x
    x = 845,175,003,556/592,828
  6. Step 6: Final answer
    x = 1,425,666.47

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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.