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Finding the Third Proportional to 495,128 and 1,057,072

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Solution

The third proportional to 495,128 and 1,057,072 is: 2,256,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,128 : 1,057,072 = 1,057,072 : x
  2. Step 2: Convert to fraction form
    495,128/1,057,072 = 1,057,072/x
  3. Step 3: Cross multiply
    495,128x = 1,057,072 × 1,057,072
  4. Step 4: Simplify right side
    495,128x = 1,117,401,213,184
  5. Step 5: Solve for x
    x = 1,117,401,213,184/495,128
  6. Step 6: Final answer
    x = 2,256,792.61

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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.