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Finding the Third Proportional to 829,348 and 1,247,184

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Solution

The third proportional to 829,348 and 1,247,184 is: 1,875,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,348 : 1,247,184 = 1,247,184 : x
  2. Step 2: Convert to fraction form
    829,348/1,247,184 = 1,247,184/x
  3. Step 3: Cross multiply
    829,348x = 1,247,184 × 1,247,184
  4. Step 4: Simplify right side
    829,348x = 1,555,467,929,856
  5. Step 5: Solve for x
    x = 1,555,467,929,856/829,348
  6. Step 6: Final answer
    x = 1,875,531.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.