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Finding the Third Proportional to 547,584 and 819,148

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Solution

The third proportional to 547,584 and 819,148 is: 1,225,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,584 : 819,148 = 819,148 : x
  2. Step 2: Convert to fraction form
    547,584/819,148 = 819,148/x
  3. Step 3: Cross multiply
    547,584x = 819,148 × 819,148
  4. Step 4: Simplify right side
    547,584x = 671,003,445,904
  5. Step 5: Solve for x
    x = 671,003,445,904/547,584
  6. Step 6: Final answer
    x = 1,225,389.07

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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.