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Finding the Third Proportional to 1,765,094.50 and 3,810,123

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Solution

The third proportional to 1,765,094.50 and 3,810,123 is: 8,224,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,094.50 : 3,810,123 = 3,810,123 : x
  2. Step 2: Convert to fraction form
    1,765,094.50/3,810,123 = 3,810,123/x
  3. Step 3: Cross multiply
    1,765,094.50x = 3,810,123 × 3,810,123
  4. Step 4: Simplify right side
    1,765,094.50x = 14,517,037,275,129
  5. Step 5: Solve for x
    x = 14,517,037,275,129/1,765,094.50
  6. Step 6: Final answer
    x = 8,224,509.95

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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.