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Finding the Third Proportional to 611,514 and 1,438,853

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Solution

The third proportional to 611,514 and 1,438,853 is: 3,385,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,514 : 1,438,853 = 1,438,853 : x
  2. Step 2: Convert to fraction form
    611,514/1,438,853 = 1,438,853/x
  3. Step 3: Cross multiply
    611,514x = 1,438,853 × 1,438,853
  4. Step 4: Simplify right side
    611,514x = 2,070,297,955,609
  5. Step 5: Solve for x
    x = 2,070,297,955,609/611,514
  6. Step 6: Final answer
    x = 3,385,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.