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Finding the Third Proportional to 1,630,461.66 and 3,541,868.02

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Solution

The third proportional to 1,630,461.66 and 3,541,868.02 is: 7,694,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,461.66 : 3,541,868.02 = 3,541,868.02 : x
  2. Step 2: Convert to fraction form
    1,630,461.66/3,541,868.02 = 3,541,868.02/x
  3. Step 3: Cross multiply
    1,630,461.66x = 3,541,868.02 × 3,541,868.02
  4. Step 4: Simplify right side
    1,630,461.66x = 12,544,829,040,107.38
  5. Step 5: Solve for x
    x = 12,544,829,040,107.38/1,630,461.66
  6. Step 6: Final answer
    x = 7,694,034.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.