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Finding the Third Proportional to 592,088 and 1,302,274

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Solution

The third proportional to 592,088 and 1,302,274 is: 2,864,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,088 : 1,302,274 = 1,302,274 : x
  2. Step 2: Convert to fraction form
    592,088/1,302,274 = 1,302,274/x
  3. Step 3: Cross multiply
    592,088x = 1,302,274 × 1,302,274
  4. Step 4: Simplify right side
    592,088x = 1,695,917,571,076
  5. Step 5: Solve for x
    x = 1,695,917,571,076/592,088
  6. Step 6: Final answer
    x = 2,864,299.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.