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Finding the Third Proportional to 1,834,084.50 and 4,315,524

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Solution

The third proportional to 1,834,084.50 and 4,315,524 is: 10,154,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,084.50 : 4,315,524 = 4,315,524 : x
  2. Step 2: Convert to fraction form
    1,834,084.50/4,315,524 = 4,315,524/x
  3. Step 3: Cross multiply
    1,834,084.50x = 4,315,524 × 4,315,524
  4. Step 4: Simplify right side
    1,834,084.50x = 18,623,747,394,576
  5. Step 5: Solve for x
    x = 18,623,747,394,576/1,834,084.50
  6. Step 6: Final answer
    x = 10,154,247.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.