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Finding the Third Proportional to 545,624 and 826,860

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Solution

The third proportional to 545,624 and 826,860 is: 1,253,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,624 : 826,860 = 826,860 : x
  2. Step 2: Convert to fraction form
    545,624/826,860 = 826,860/x
  3. Step 3: Cross multiply
    545,624x = 826,860 × 826,860
  4. Step 4: Simplify right side
    545,624x = 683,697,459,600
  5. Step 5: Solve for x
    x = 683,697,459,600/545,624
  6. Step 6: Final answer
    x = 1,253,056.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.