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Finding the Third Proportional to 497,782 and 1,170,094

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Solution

The third proportional to 497,782 and 1,170,094 is: 2,750,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,782 : 1,170,094 = 1,170,094 : x
  2. Step 2: Convert to fraction form
    497,782/1,170,094 = 1,170,094/x
  3. Step 3: Cross multiply
    497,782x = 1,170,094 × 1,170,094
  4. Step 4: Simplify right side
    497,782x = 1,369,119,968,836
  5. Step 5: Solve for x
    x = 1,369,119,968,836/497,782
  6. Step 6: Final answer
    x = 2,750,440.89

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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.