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Finding the Third Proportional to 828,900 and 1,238,232

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Solution

The third proportional to 828,900 and 1,238,232 is: 1,849,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,900 : 1,238,232 = 1,238,232 : x
  2. Step 2: Convert to fraction form
    828,900/1,238,232 = 1,238,232/x
  3. Step 3: Cross multiply
    828,900x = 1,238,232 × 1,238,232
  4. Step 4: Simplify right side
    828,900x = 1,533,218,485,824
  5. Step 5: Solve for x
    x = 1,533,218,485,824/828,900
  6. Step 6: Final answer
    x = 1,849,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.