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Finding the Third Proportional to 526,822 and 1,119,242

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Solution

The third proportional to 526,822 and 1,119,242 is: 2,377,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,822 : 1,119,242 = 1,119,242 : x
  2. Step 2: Convert to fraction form
    526,822/1,119,242 = 1,119,242/x
  3. Step 3: Cross multiply
    526,822x = 1,119,242 × 1,119,242
  4. Step 4: Simplify right side
    526,822x = 1,252,702,654,564
  5. Step 5: Solve for x
    x = 1,252,702,654,564/526,822
  6. Step 6: Final answer
    x = 2,377,848.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.