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Finding the Third Proportional to 560,086 and 851,814

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Solution

The third proportional to 560,086 and 851,814 is: 1,295,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,086 : 851,814 = 851,814 : x
  2. Step 2: Convert to fraction form
    560,086/851,814 = 851,814/x
  3. Step 3: Cross multiply
    560,086x = 851,814 × 851,814
  4. Step 4: Simplify right side
    560,086x = 725,587,090,596
  5. Step 5: Solve for x
    x = 725,587,090,596/560,086
  6. Step 6: Final answer
    x = 1,295,492.28

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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.