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Finding the Third Proportional to 547,481 and 1,170,623

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Solution

The third proportional to 547,481 and 1,170,623 is: 2,503,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,481 : 1,170,623 = 1,170,623 : x
  2. Step 2: Convert to fraction form
    547,481/1,170,623 = 1,170,623/x
  3. Step 3: Cross multiply
    547,481x = 1,170,623 × 1,170,623
  4. Step 4: Simplify right side
    547,481x = 1,370,358,208,129
  5. Step 5: Solve for x
    x = 1,370,358,208,129/547,481
  6. Step 6: Final answer
    x = 2,503,024.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.