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Finding the Third Proportional to 528,825 and 1,157,778

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Solution

The third proportional to 528,825 and 1,157,778 is: 2,534,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,825 : 1,157,778 = 1,157,778 : x
  2. Step 2: Convert to fraction form
    528,825/1,157,778 = 1,157,778/x
  3. Step 3: Cross multiply
    528,825x = 1,157,778 × 1,157,778
  4. Step 4: Simplify right side
    528,825x = 1,340,449,897,284
  5. Step 5: Solve for x
    x = 1,340,449,897,284/528,825
  6. Step 6: Final answer
    x = 2,534,770.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.