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Finding the Third Proportional to 1,642,137.05 and 3,527,014.01

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Solution

The third proportional to 1,642,137.05 and 3,527,014.01 is: 7,575,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,137.05 : 3,527,014.01 = 3,527,014.01 : x
  2. Step 2: Convert to fraction form
    1,642,137.05/3,527,014.01 = 3,527,014.01/x
  3. Step 3: Cross multiply
    1,642,137.05x = 3,527,014.01 × 3,527,014.01
  4. Step 4: Simplify right side
    1,642,137.05x = 12,439,827,811,305.59
  5. Step 5: Solve for x
    x = 12,439,827,811,305.59/1,642,137.05
  6. Step 6: Final answer
    x = 7,575,389.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.