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Finding the Third Proportional to 2,103,711.75 and 4,539,564

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Solution

The third proportional to 2,103,711.75 and 4,539,564 is: 9,795,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,711.75 : 4,539,564 = 4,539,564 : x
  2. Step 2: Convert to fraction form
    2,103,711.75/4,539,564 = 4,539,564/x
  3. Step 3: Cross multiply
    2,103,711.75x = 4,539,564 × 4,539,564
  4. Step 4: Simplify right side
    2,103,711.75x = 20,607,641,310,096
  5. Step 5: Solve for x
    x = 20,607,641,310,096/2,103,711.75
  6. Step 6: Final answer
    x = 9,795,848.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.