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Finding the Third Proportional to 2,916,576 and 4,566,016

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Solution

The third proportional to 2,916,576 and 4,566,016 is: 7,148,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916,576 : 4,566,016 = 4,566,016 : x
  2. Step 2: Convert to fraction form
    2,916,576/4,566,016 = 4,566,016/x
  3. Step 3: Cross multiply
    2,916,576x = 4,566,016 × 4,566,016
  4. Step 4: Simplify right side
    2,916,576x = 20,848,502,112,256
  5. Step 5: Solve for x
    x = 20,848,502,112,256/2,916,576
  6. Step 6: Final answer
    x = 7,148,280.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.