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Finding the Third Proportional to 838,386 and 1,185,165

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Solution

The third proportional to 838,386 and 1,185,165 is: 1,675,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,386 : 1,185,165 = 1,185,165 : x
  2. Step 2: Convert to fraction form
    838,386/1,185,165 = 1,185,165/x
  3. Step 3: Cross multiply
    838,386x = 1,185,165 × 1,185,165
  4. Step 4: Simplify right side
    838,386x = 1,404,616,077,225
  5. Step 5: Solve for x
    x = 1,404,616,077,225/838,386
  6. Step 6: Final answer
    x = 1,675,381.12

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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.