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Finding the Third Proportional to 511,594 and 1,076,216

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Solution

The third proportional to 511,594 and 1,076,216 is: 2,263,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,594 : 1,076,216 = 1,076,216 : x
  2. Step 2: Convert to fraction form
    511,594/1,076,216 = 1,076,216/x
  3. Step 3: Cross multiply
    511,594x = 1,076,216 × 1,076,216
  4. Step 4: Simplify right side
    511,594x = 1,158,240,878,656
  5. Step 5: Solve for x
    x = 1,158,240,878,656/511,594
  6. Step 6: Final answer
    x = 2,263,984.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.