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Finding the Third Proportional to 528,086 and 1,245,395

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Solution

The third proportional to 528,086 and 1,245,395 is: 2,937,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,086 : 1,245,395 = 1,245,395 : x
  2. Step 2: Convert to fraction form
    528,086/1,245,395 = 1,245,395/x
  3. Step 3: Cross multiply
    528,086x = 1,245,395 × 1,245,395
  4. Step 4: Simplify right side
    528,086x = 1,551,008,706,025
  5. Step 5: Solve for x
    x = 1,551,008,706,025/528,086
  6. Step 6: Final answer
    x = 2,937,038.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.