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Finding the Third Proportional to 547,588 and 819,154

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Solution

The third proportional to 547,588 and 819,154 is: 1,225,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,588 : 819,154 = 819,154 : x
  2. Step 2: Convert to fraction form
    547,588/819,154 = 819,154/x
  3. Step 3: Cross multiply
    547,588x = 819,154 × 819,154
  4. Step 4: Simplify right side
    547,588x = 671,013,275,716
  5. Step 5: Solve for x
    x = 671,013,275,716/547,588
  6. Step 6: Final answer
    x = 1,225,398.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.