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Finding the Third Proportional to 1,427,654 and 2,102,007

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Solution

The third proportional to 1,427,654 and 2,102,007 is: 3,094,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,654 : 2,102,007 = 2,102,007 : x
  2. Step 2: Convert to fraction form
    1,427,654/2,102,007 = 2,102,007/x
  3. Step 3: Cross multiply
    1,427,654x = 2,102,007 × 2,102,007
  4. Step 4: Simplify right side
    1,427,654x = 4,418,433,428,049
  5. Step 5: Solve for x
    x = 4,418,433,428,049/1,427,654
  6. Step 6: Final answer
    x = 3,094,890.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.