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Finding the Third Proportional to 495,968 and 1,080,510

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Solution

The third proportional to 495,968 and 1,080,510 is: 2,353,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,968 : 1,080,510 = 1,080,510 : x
  2. Step 2: Convert to fraction form
    495,968/1,080,510 = 1,080,510/x
  3. Step 3: Cross multiply
    495,968x = 1,080,510 × 1,080,510
  4. Step 4: Simplify right side
    495,968x = 1,167,501,860,100
  5. Step 5: Solve for x
    x = 1,167,501,860,100/495,968
  6. Step 6: Final answer
    x = 2,353,986.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.