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Finding the Third Proportional to 592,186 and 884,332

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Solution

The third proportional to 592,186 and 884,332 is: 1,320,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,186 : 884,332 = 884,332 : x
  2. Step 2: Convert to fraction form
    592,186/884,332 = 884,332/x
  3. Step 3: Cross multiply
    592,186x = 884,332 × 884,332
  4. Step 4: Simplify right side
    592,186x = 782,043,086,224
  5. Step 5: Solve for x
    x = 782,043,086,224/592,186
  6. Step 6: Final answer
    x = 1,320,603.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.