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Finding the Third Proportional to 380,547 and 836,424

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Solution

The third proportional to 380,547 and 836,424 is: 1,838,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,547 : 836,424 = 836,424 : x
  2. Step 2: Convert to fraction form
    380,547/836,424 = 836,424/x
  3. Step 3: Cross multiply
    380,547x = 836,424 × 836,424
  4. Step 4: Simplify right side
    380,547x = 699,605,107,776
  5. Step 5: Solve for x
    x = 699,605,107,776/380,547
  6. Step 6: Final answer
    x = 1,838,419.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.