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Finding the Third Proportional to 1,065,624 and 2,283,245

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Solution

The third proportional to 1,065,624 and 2,283,245 is: 4,892,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,624 : 2,283,245 = 2,283,245 : x
  2. Step 2: Convert to fraction form
    1,065,624/2,283,245 = 2,283,245/x
  3. Step 3: Cross multiply
    1,065,624x = 2,283,245 × 2,283,245
  4. Step 4: Simplify right side
    1,065,624x = 5,213,207,730,025
  5. Step 5: Solve for x
    x = 5,213,207,730,025/1,065,624
  6. Step 6: Final answer
    x = 4,892,164.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.