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Finding the Third Proportional to 2,676,415.50 and 3,815,320.50

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Solution

The third proportional to 2,676,415.50 and 3,815,320.50 is: 5,438,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676,415.50 : 3,815,320.50 = 3,815,320.50 : x
  2. Step 2: Convert to fraction form
    2,676,415.50/3,815,320.50 = 3,815,320.50/x
  3. Step 3: Cross multiply
    2,676,415.50x = 3,815,320.50 × 3,815,320.50
  4. Step 4: Simplify right side
    2,676,415.50x = 14,556,670,517,720.25
  5. Step 5: Solve for x
    x = 14,556,670,517,720.25/2,676,415.50
  6. Step 6: Final answer
    x = 5,438,867.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.