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Finding the Third Proportional to 838,512 and 1,185,312

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Solution

The third proportional to 838,512 and 1,185,312 is: 1,675,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,512 : 1,185,312 = 1,185,312 : x
  2. Step 2: Convert to fraction form
    838,512/1,185,312 = 1,185,312/x
  3. Step 3: Cross multiply
    838,512x = 1,185,312 × 1,185,312
  4. Step 4: Simplify right side
    838,512x = 1,404,964,537,344
  5. Step 5: Solve for x
    x = 1,404,964,537,344/838,512
  6. Step 6: Final answer
    x = 1,675,544.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.