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Finding the Third Proportional to 736,932 and 1,529,256

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Solution

The third proportional to 736,932 and 1,529,256 is: 3,173,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,932 : 1,529,256 = 1,529,256 : x
  2. Step 2: Convert to fraction form
    736,932/1,529,256 = 1,529,256/x
  3. Step 3: Cross multiply
    736,932x = 1,529,256 × 1,529,256
  4. Step 4: Simplify right side
    736,932x = 2,338,623,913,536
  5. Step 5: Solve for x
    x = 2,338,623,913,536/736,932
  6. Step 6: Final answer
    x = 3,173,459.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.