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Finding the Third Proportional to 592,095 and 1,302,285

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Solution

The third proportional to 592,095 and 1,302,285 is: 2,864,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,095 : 1,302,285 = 1,302,285 : x
  2. Step 2: Convert to fraction form
    592,095/1,302,285 = 1,302,285/x
  3. Step 3: Cross multiply
    592,095x = 1,302,285 × 1,302,285
  4. Step 4: Simplify right side
    592,095x = 1,695,946,221,225
  5. Step 5: Solve for x
    x = 1,695,946,221,225/592,095
  6. Step 6: Final answer
    x = 2,864,314.38

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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.