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Finding the Third Proportional to 2,576,526 and 5,597,014

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Solution

The third proportional to 2,576,526 and 5,597,014 is: 12,158,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,526 : 5,597,014 = 5,597,014 : x
  2. Step 2: Convert to fraction form
    2,576,526/5,597,014 = 5,597,014/x
  3. Step 3: Cross multiply
    2,576,526x = 5,597,014 × 5,597,014
  4. Step 4: Simplify right side
    2,576,526x = 31,326,565,716,196
  5. Step 5: Solve for x
    x = 31,326,565,716,196/2,576,526
  6. Step 6: Final answer
    x = 12,158,451.23

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Why These Related Problems?

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