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Finding the Third Proportional to 495,971 and 1,080,516

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Solution

The third proportional to 495,971 and 1,080,516 is: 2,353,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,971 : 1,080,516 = 1,080,516 : x
  2. Step 2: Convert to fraction form
    495,971/1,080,516 = 1,080,516/x
  3. Step 3: Cross multiply
    495,971x = 1,080,516 × 1,080,516
  4. Step 4: Simplify right side
    495,971x = 1,167,514,826,256
  5. Step 5: Solve for x
    x = 1,167,514,826,256/495,971
  6. Step 6: Final answer
    x = 2,353,998.17

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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.