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Finding the Third Proportional to 497,264 and 1,085,612

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Solution

The third proportional to 497,264 and 1,085,612 is: 2,370,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,264 : 1,085,612 = 1,085,612 : x
  2. Step 2: Convert to fraction form
    497,264/1,085,612 = 1,085,612/x
  3. Step 3: Cross multiply
    497,264x = 1,085,612 × 1,085,612
  4. Step 4: Simplify right side
    497,264x = 1,178,553,414,544
  5. Step 5: Solve for x
    x = 1,178,553,414,544/497,264
  6. Step 6: Final answer
    x = 2,370,075.88

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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.