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Finding the Third Proportional to 491,248 and 1,076,016

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Solution

The third proportional to 491,248 and 1,076,016 is: 2,356,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,248 : 1,076,016 = 1,076,016 : x
  2. Step 2: Convert to fraction form
    491,248/1,076,016 = 1,076,016/x
  3. Step 3: Cross multiply
    491,248x = 1,076,016 × 1,076,016
  4. Step 4: Simplify right side
    491,248x = 1,157,810,432,256
  5. Step 5: Solve for x
    x = 1,157,810,432,256/491,248
  6. Step 6: Final answer
    x = 2,356,875.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.