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Finding the Third Proportional to 910,944 and 1,999,296

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Solution

The third proportional to 910,944 and 1,999,296 is: 4,387,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,944 : 1,999,296 = 1,999,296 : x
  2. Step 2: Convert to fraction form
    910,944/1,999,296 = 1,999,296/x
  3. Step 3: Cross multiply
    910,944x = 1,999,296 × 1,999,296
  4. Step 4: Simplify right side
    910,944x = 3,997,184,495,616
  5. Step 5: Solve for x
    x = 3,997,184,495,616/910,944
  6. Step 6: Final answer
    x = 4,387,958.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.