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Finding the Third Proportional to 384,654 and 837,037

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Solution

The third proportional to 384,654 and 837,037 is: 1,821,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,654 : 837,037 = 837,037 : x
  2. Step 2: Convert to fraction form
    384,654/837,037 = 837,037/x
  3. Step 3: Cross multiply
    384,654x = 837,037 × 837,037
  4. Step 4: Simplify right side
    384,654x = 700,630,939,369
  5. Step 5: Solve for x
    x = 700,630,939,369/384,654
  6. Step 6: Final answer
    x = 1,821,457.57

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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.