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Finding the Third Proportional to 526,097 and 1,159,438

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Solution

The third proportional to 526,097 and 1,159,438 is: 2,555,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,097 : 1,159,438 = 1,159,438 : x
  2. Step 2: Convert to fraction form
    526,097/1,159,438 = 1,159,438/x
  3. Step 3: Cross multiply
    526,097x = 1,159,438 × 1,159,438
  4. Step 4: Simplify right side
    526,097x = 1,344,296,475,844
  5. Step 5: Solve for x
    x = 1,344,296,475,844/526,097
  6. Step 6: Final answer
    x = 2,555,225.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.