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Finding the Third Proportional to 495,529 and 1,061,018

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Solution

The third proportional to 495,529 and 1,061,018 is: 2,271,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,529 : 1,061,018 = 1,061,018 : x
  2. Step 2: Convert to fraction form
    495,529/1,061,018 = 1,061,018/x
  3. Step 3: Cross multiply
    495,529x = 1,061,018 × 1,061,018
  4. Step 4: Simplify right side
    495,529x = 1,125,759,196,324
  5. Step 5: Solve for x
    x = 1,125,759,196,324/495,529
  6. Step 6: Final answer
    x = 2,271,833.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.