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Finding the Third Proportional to 526,095 and 1,159,434

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Solution

The third proportional to 526,095 and 1,159,434 is: 2,555,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,095 : 1,159,434 = 1,159,434 : x
  2. Step 2: Convert to fraction form
    526,095/1,159,434 = 1,159,434/x
  3. Step 3: Cross multiply
    526,095x = 1,159,434 × 1,159,434
  4. Step 4: Simplify right side
    526,095x = 1,344,287,200,356
  5. Step 5: Solve for x
    x = 1,344,287,200,356/526,095
  6. Step 6: Final answer
    x = 2,555,217.59

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