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Finding the Third Proportional to 2,141,012 and 3,131,139

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Solution

The third proportional to 2,141,012 and 3,131,139 is: 4,579,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,012 : 3,131,139 = 3,131,139 : x
  2. Step 2: Convert to fraction form
    2,141,012/3,131,139 = 3,131,139/x
  3. Step 3: Cross multiply
    2,141,012x = 3,131,139 × 3,131,139
  4. Step 4: Simplify right side
    2,141,012x = 9,804,031,437,321
  5. Step 5: Solve for x
    x = 9,804,031,437,321/2,141,012
  6. Step 6: Final answer
    x = 4,579,157.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.