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Finding the Third Proportional to 526,395 and 786,084

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Solution

The third proportional to 526,395 and 786,084 is: 1,173,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,395 : 786,084 = 786,084 : x
  2. Step 2: Convert to fraction form
    526,395/786,084 = 786,084/x
  3. Step 3: Cross multiply
    526,395x = 786,084 × 786,084
  4. Step 4: Simplify right side
    526,395x = 617,928,055,056
  5. Step 5: Solve for x
    x = 617,928,055,056/526,395
  6. Step 6: Final answer
    x = 1,173,886.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.