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Finding the Third Proportional to 560,092 and 851,820

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Solution

The third proportional to 560,092 and 851,820 is: 1,295,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,092 : 851,820 = 851,820 : x
  2. Step 2: Convert to fraction form
    560,092/851,820 = 851,820/x
  3. Step 3: Cross multiply
    560,092x = 851,820 × 851,820
  4. Step 4: Simplify right side
    560,092x = 725,597,312,400
  5. Step 5: Solve for x
    x = 725,597,312,400/560,092
  6. Step 6: Final answer
    x = 1,295,496.65

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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.