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Finding the Third Proportional to 495,132 and 1,057,080

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Solution

The third proportional to 495,132 and 1,057,080 is: 2,256,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,132 : 1,057,080 = 1,057,080 : x
  2. Step 2: Convert to fraction form
    495,132/1,057,080 = 1,057,080/x
  3. Step 3: Cross multiply
    495,132x = 1,057,080 × 1,057,080
  4. Step 4: Simplify right side
    495,132x = 1,117,418,126,400
  5. Step 5: Solve for x
    x = 1,117,418,126,400/495,132
  6. Step 6: Final answer
    x = 2,256,808.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.