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Finding the Third Proportional to 526,841 and 1,133,587

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Solution

The third proportional to 526,841 and 1,133,587 is: 2,439,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,841 : 1,133,587 = 1,133,587 : x
  2. Step 2: Convert to fraction form
    526,841/1,133,587 = 1,133,587/x
  3. Step 3: Cross multiply
    526,841x = 1,133,587 × 1,133,587
  4. Step 4: Simplify right side
    526,841x = 1,285,019,486,569
  5. Step 5: Solve for x
    x = 1,285,019,486,569/526,841
  6. Step 6: Final answer
    x = 2,439,103.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.