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Finding the Third Proportional to 623,514 and 1,344,321

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Solution

The third proportional to 623,514 and 1,344,321 is: 2,898,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,514 : 1,344,321 = 1,344,321 : x
  2. Step 2: Convert to fraction form
    623,514/1,344,321 = 1,344,321/x
  3. Step 3: Cross multiply
    623,514x = 1,344,321 × 1,344,321
  4. Step 4: Simplify right side
    623,514x = 1,807,198,951,041
  5. Step 5: Solve for x
    x = 1,807,198,951,041/623,514
  6. Step 6: Final answer
    x = 2,898,409.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.