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Finding the Third Proportional to 384,655 and 837,038

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Solution

The third proportional to 384,655 and 837,038 is: 1,821,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,655 : 837,038 = 837,038 : x
  2. Step 2: Convert to fraction form
    384,655/837,038 = 837,038/x
  3. Step 3: Cross multiply
    384,655x = 837,038 × 837,038
  4. Step 4: Simplify right side
    384,655x = 700,632,613,444
  5. Step 5: Solve for x
    x = 700,632,613,444/384,655
  6. Step 6: Final answer
    x = 1,821,457.18

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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.