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Finding the Third Proportional to 384,663 and 837,053

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Solution

The third proportional to 384,663 and 837,053 is: 1,821,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,663 : 837,053 = 837,053 : x
  2. Step 2: Convert to fraction form
    384,663/837,053 = 837,053/x
  3. Step 3: Cross multiply
    384,663x = 837,053 × 837,053
  4. Step 4: Simplify right side
    384,663x = 700,657,724,809
  5. Step 5: Solve for x
    x = 700,657,724,809/384,663
  6. Step 6: Final answer
    x = 1,821,484.58

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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.