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Finding the Third Proportional to 823,358 and 1,284,835

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Solution

The third proportional to 823,358 and 1,284,835 is: 2,004,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,358 : 1,284,835 = 1,284,835 : x
  2. Step 2: Convert to fraction form
    823,358/1,284,835 = 1,284,835/x
  3. Step 3: Cross multiply
    823,358x = 1,284,835 × 1,284,835
  4. Step 4: Simplify right side
    823,358x = 1,650,800,977,225
  5. Step 5: Solve for x
    x = 1,650,800,977,225/823,358
  6. Step 6: Final answer
    x = 2,004,961.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.