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Finding the Third Proportional to 497,778 and 1,170,085

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Solution

The third proportional to 497,778 and 1,170,085 is: 2,750,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,778 : 1,170,085 = 1,170,085 : x
  2. Step 2: Convert to fraction form
    497,778/1,170,085 = 1,170,085/x
  3. Step 3: Cross multiply
    497,778x = 1,170,085 × 1,170,085
  4. Step 4: Simplify right side
    497,778x = 1,369,098,907,225
  5. Step 5: Solve for x
    x = 1,369,098,907,225/497,778
  6. Step 6: Final answer
    x = 2,750,420.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.