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Finding the Third Proportional to 495,969 and 1,080,511.50

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Solution

The third proportional to 495,969 and 1,080,511.50 is: 2,353,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,969 : 1,080,511.50 = 1,080,511.50 : x
  2. Step 2: Convert to fraction form
    495,969/1,080,511.50 = 1,080,511.50/x
  3. Step 3: Cross multiply
    495,969x = 1,080,511.50 × 1,080,511.50
  4. Step 4: Simplify right side
    495,969x = 1,167,505,101,632.25
  5. Step 5: Solve for x
    x = 1,167,505,101,632.25/495,969
  6. Step 6: Final answer
    x = 2,353,988.05

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Why These Related Problems?

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