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Finding the Third Proportional to 722,731 and 1,556,457

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Solution

The third proportional to 722,731 and 1,556,457 is: 3,351,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,731 : 1,556,457 = 1,556,457 : x
  2. Step 2: Convert to fraction form
    722,731/1,556,457 = 1,556,457/x
  3. Step 3: Cross multiply
    722,731x = 1,556,457 × 1,556,457
  4. Step 4: Simplify right side
    722,731x = 2,422,558,392,849
  5. Step 5: Solve for x
    x = 2,422,558,392,849/722,731
  6. Step 6: Final answer
    x = 3,351,950.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.