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Finding the Third Proportional to 385,695 and 837,729

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Solution

The third proportional to 385,695 and 837,729 is: 1,819,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,695 : 837,729 = 837,729 : x
  2. Step 2: Convert to fraction form
    385,695/837,729 = 837,729/x
  3. Step 3: Cross multiply
    385,695x = 837,729 × 837,729
  4. Step 4: Simplify right side
    385,695x = 701,789,877,441
  5. Step 5: Solve for x
    x = 701,789,877,441/385,695
  6. Step 6: Final answer
    x = 1,819,546.22

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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.