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Finding the Third Proportional to 592,776 and 919,575

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Solution

The third proportional to 592,776 and 919,575 is: 1,426,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,776 : 919,575 = 919,575 : x
  2. Step 2: Convert to fraction form
    592,776/919,575 = 919,575/x
  3. Step 3: Cross multiply
    592,776x = 919,575 × 919,575
  4. Step 4: Simplify right side
    592,776x = 845,618,180,625
  5. Step 5: Solve for x
    x = 845,618,180,625/592,776
  6. Step 6: Final answer
    x = 1,426,539.17

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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.