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Finding the Third Proportional to 526,098 and 1,159,440

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Solution

The third proportional to 526,098 and 1,159,440 is: 2,555,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,098 : 1,159,440 = 1,159,440 : x
  2. Step 2: Convert to fraction form
    526,098/1,159,440 = 1,159,440/x
  3. Step 3: Cross multiply
    526,098x = 1,159,440 × 1,159,440
  4. Step 4: Simplify right side
    526,098x = 1,344,301,113,600
  5. Step 5: Solve for x
    x = 1,344,301,113,600/526,098
  6. Step 6: Final answer
    x = 2,555,229.47

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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.