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Finding the Third Proportional to 1,878,592.50 and 4,022,824.50

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Solution

The third proportional to 1,878,592.50 and 4,022,824.50 is: 8,614,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,592.50 : 4,022,824.50 = 4,022,824.50 : x
  2. Step 2: Convert to fraction form
    1,878,592.50/4,022,824.50 = 4,022,824.50/x
  3. Step 3: Cross multiply
    1,878,592.50x = 4,022,824.50 × 4,022,824.50
  4. Step 4: Simplify right side
    1,878,592.50x = 16,183,116,957,800.25
  5. Step 5: Solve for x
    x = 16,183,116,957,800.25/1,878,592.50
  6. Step 6: Final answer
    x = 8,614,490.35

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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.