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Finding the Third Proportional to 853,264 and 1,843,348

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Solution

The third proportional to 853,264 and 1,843,348 is: 3,982,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,264 : 1,843,348 = 1,843,348 : x
  2. Step 2: Convert to fraction form
    853,264/1,843,348 = 1,843,348/x
  3. Step 3: Cross multiply
    853,264x = 1,843,348 × 1,843,348
  4. Step 4: Simplify right side
    853,264x = 3,397,931,849,104
  5. Step 5: Solve for x
    x = 3,397,931,849,104/853,264
  6. Step 6: Final answer
    x = 3,982,274.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.