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Finding the Third Proportional to 838,375 and 1,185,148

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Solution

The third proportional to 838,375 and 1,185,148 is: 1,675,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,375 : 1,185,148 = 1,185,148 : x
  2. Step 2: Convert to fraction form
    838,375/1,185,148 = 1,185,148/x
  3. Step 3: Cross multiply
    838,375x = 1,185,148 × 1,185,148
  4. Step 4: Simplify right side
    838,375x = 1,404,575,781,904
  5. Step 5: Solve for x
    x = 1,404,575,781,904/838,375
  6. Step 6: Final answer
    x = 1,675,355.04

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