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Finding the Third Proportional to 385,670 and 837,677

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Solution

The third proportional to 385,670 and 837,677 is: 1,819,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,670 : 837,677 = 837,677 : x
  2. Step 2: Convert to fraction form
    385,670/837,677 = 837,677/x
  3. Step 3: Cross multiply
    385,670x = 837,677 × 837,677
  4. Step 4: Simplify right side
    385,670x = 701,702,756,329
  5. Step 5: Solve for x
    x = 701,702,756,329/385,670
  6. Step 6: Final answer
    x = 1,819,438.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.