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Finding the Third Proportional to 535,297 and 1,188,674

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Solution

The third proportional to 535,297 and 1,188,674 is: 2,639,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,297 : 1,188,674 = 1,188,674 : x
  2. Step 2: Convert to fraction form
    535,297/1,188,674 = 1,188,674/x
  3. Step 3: Cross multiply
    535,297x = 1,188,674 × 1,188,674
  4. Step 4: Simplify right side
    535,297x = 1,412,945,878,276
  5. Step 5: Solve for x
    x = 1,412,945,878,276/535,297
  6. Step 6: Final answer
    x = 2,639,555.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.