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Finding the Third Proportional to 495,970 and 1,080,514

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Solution

The third proportional to 495,970 and 1,080,514 is: 2,353,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,970 : 1,080,514 = 1,080,514 : x
  2. Step 2: Convert to fraction form
    495,970/1,080,514 = 1,080,514/x
  3. Step 3: Cross multiply
    495,970x = 1,080,514 × 1,080,514
  4. Step 4: Simplify right side
    495,970x = 1,167,510,504,196
  5. Step 5: Solve for x
    x = 1,167,510,504,196/495,970
  6. Step 6: Final answer
    x = 2,353,994.20

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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.