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Finding the Third Proportional to 546,888 and 855,951

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Solution

The third proportional to 546,888 and 855,951 is: 1,339,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,888 : 855,951 = 855,951 : x
  2. Step 2: Convert to fraction form
    546,888/855,951 = 855,951/x
  3. Step 3: Cross multiply
    546,888x = 855,951 × 855,951
  4. Step 4: Simplify right side
    546,888x = 732,652,114,401
  5. Step 5: Solve for x
    x = 732,652,114,401/546,888
  6. Step 6: Final answer
    x = 1,339,674.88

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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.