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Finding the Third Proportional to 838,496 and 1,185,328

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Solution

The third proportional to 838,496 and 1,185,328 is: 1,675,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,496 : 1,185,328 = 1,185,328 : x
  2. Step 2: Convert to fraction form
    838,496/1,185,328 = 1,185,328/x
  3. Step 3: Cross multiply
    838,496x = 1,185,328 × 1,185,328
  4. Step 4: Simplify right side
    838,496x = 1,405,002,467,584
  5. Step 5: Solve for x
    x = 1,405,002,467,584/838,496
  6. Step 6: Final answer
    x = 1,675,622.15

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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.