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Finding the Third Proportional to 2,576,537 and 5,597,034

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Solution

The third proportional to 2,576,537 and 5,597,034 is: 12,158,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,537 : 5,597,034 = 5,597,034 : x
  2. Step 2: Convert to fraction form
    2,576,537/5,597,034 = 5,597,034/x
  3. Step 3: Cross multiply
    2,576,537x = 5,597,034 × 5,597,034
  4. Step 4: Simplify right side
    2,576,537x = 31,326,789,597,156
  5. Step 5: Solve for x
    x = 31,326,789,597,156/2,576,537
  6. Step 6: Final answer
    x = 12,158,486.22

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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.