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Finding the Third Proportional to 384,672 and 837,072

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Solution

The third proportional to 384,672 and 837,072 is: 1,821,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672 : 837,072 = 837,072 : x
  2. Step 2: Convert to fraction form
    384,672/837,072 = 837,072/x
  3. Step 3: Cross multiply
    384,672x = 837,072 × 837,072
  4. Step 4: Simplify right side
    384,672x = 700,689,533,184
  5. Step 5: Solve for x
    x = 700,689,533,184/384,672
  6. Step 6: Final answer
    x = 1,821,524.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.