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Finding the Third Proportional to 706,740 and 1,514,472

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Solution

The third proportional to 706,740 and 1,514,472 is: 3,245,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,740 : 1,514,472 = 1,514,472 : x
  2. Step 2: Convert to fraction form
    706,740/1,514,472 = 1,514,472/x
  3. Step 3: Cross multiply
    706,740x = 1,514,472 × 1,514,472
  4. Step 4: Simplify right side
    706,740x = 2,293,625,438,784
  5. Step 5: Solve for x
    x = 2,293,625,438,784/706,740
  6. Step 6: Final answer
    x = 3,245,359.59

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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.