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Finding the Third Proportional to 531,898 and 1,138,514

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Solution

The third proportional to 531,898 and 1,138,514 is: 2,436,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,898 : 1,138,514 = 1,138,514 : x
  2. Step 2: Convert to fraction form
    531,898/1,138,514 = 1,138,514/x
  3. Step 3: Cross multiply
    531,898x = 1,138,514 × 1,138,514
  4. Step 4: Simplify right side
    531,898x = 1,296,214,128,196
  5. Step 5: Solve for x
    x = 1,296,214,128,196/531,898
  6. Step 6: Final answer
    x = 2,436,959.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.