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Finding the Third Proportional to 2,437,656 and 5,170,224

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Solution

The third proportional to 2,437,656 and 5,170,224 is: 10,965,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,656 : 5,170,224 = 5,170,224 : x
  2. Step 2: Convert to fraction form
    2,437,656/5,170,224 = 5,170,224/x
  3. Step 3: Cross multiply
    2,437,656x = 5,170,224 × 5,170,224
  4. Step 4: Simplify right side
    2,437,656x = 26,731,216,210,176
  5. Step 5: Solve for x
    x = 26,731,216,210,176/2,437,656
  6. Step 6: Final answer
    x = 10,965,950.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.