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Finding the Third Proportional to 389,700 and 837,417

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Solution

The third proportional to 389,700 and 837,417 is: 1,799,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,700 : 837,417 = 837,417 : x
  2. Step 2: Convert to fraction form
    389,700/837,417 = 837,417/x
  3. Step 3: Cross multiply
    389,700x = 837,417 × 837,417
  4. Step 4: Simplify right side
    389,700x = 701,267,231,889
  5. Step 5: Solve for x
    x = 701,267,231,889/389,700
  6. Step 6: Final answer
    x = 1,799,505.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.