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Finding the Third Proportional to 655,010 and 1,420,612

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Solution

The third proportional to 655,010 and 1,420,612 is: 3,081,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,010 : 1,420,612 = 1,420,612 : x
  2. Step 2: Convert to fraction form
    655,010/1,420,612 = 1,420,612/x
  3. Step 3: Cross multiply
    655,010x = 1,420,612 × 1,420,612
  4. Step 4: Simplify right side
    655,010x = 2,018,138,454,544
  5. Step 5: Solve for x
    x = 2,018,138,454,544/655,010
  6. Step 6: Final answer
    x = 3,081,080.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.