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Finding the Third Proportional to 736,134 and 1,588,257

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Solution

The third proportional to 736,134 and 1,588,257 is: 3,426,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,134 : 1,588,257 = 1,588,257 : x
  2. Step 2: Convert to fraction form
    736,134/1,588,257 = 1,588,257/x
  3. Step 3: Cross multiply
    736,134x = 1,588,257 × 1,588,257
  4. Step 4: Simplify right side
    736,134x = 2,522,560,298,049
  5. Step 5: Solve for x
    x = 2,522,560,298,049/736,134
  6. Step 6: Final answer
    x = 3,426,767.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.