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Finding the Third Proportional to 495,096 and 1,057,008

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Solution

The third proportional to 495,096 and 1,057,008 is: 2,256,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,096 : 1,057,008 = 1,057,008 : x
  2. Step 2: Convert to fraction form
    495,096/1,057,008 = 1,057,008/x
  3. Step 3: Cross multiply
    495,096x = 1,057,008 × 1,057,008
  4. Step 4: Simplify right side
    495,096x = 1,117,265,912,064
  5. Step 5: Solve for x
    x = 1,117,265,912,064/495,096
  6. Step 6: Final answer
    x = 2,256,665.20

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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.