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Finding the Third Proportional to 546,306 and 855,102

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Solution

The third proportional to 546,306 and 855,102 is: 1,338,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,306 : 855,102 = 855,102 : x
  2. Step 2: Convert to fraction form
    546,306/855,102 = 855,102/x
  3. Step 3: Cross multiply
    546,306x = 855,102 × 855,102
  4. Step 4: Simplify right side
    546,306x = 731,199,430,404
  5. Step 5: Solve for x
    x = 731,199,430,404/546,306
  6. Step 6: Final answer
    x = 1,338,442.98

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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.