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Finding the Third Proportional to 2,675,875.50 and 3,814,517

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Solution

The third proportional to 2,675,875.50 and 3,814,517 is: 5,437,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,875.50 : 3,814,517 = 3,814,517 : x
  2. Step 2: Convert to fraction form
    2,675,875.50/3,814,517 = 3,814,517/x
  3. Step 3: Cross multiply
    2,675,875.50x = 3,814,517 × 3,814,517
  4. Step 4: Simplify right side
    2,675,875.50x = 14,550,539,943,289
  5. Step 5: Solve for x
    x = 14,550,539,943,289/2,675,875.50
  6. Step 6: Final answer
    x = 5,437,674.49

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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.