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Finding the Third Proportional to 399,645 and 855,972

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Solution

The third proportional to 399,645 and 855,972 is: 1,833,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,645 : 855,972 = 855,972 : x
  2. Step 2: Convert to fraction form
    399,645/855,972 = 855,972/x
  3. Step 3: Cross multiply
    399,645x = 855,972 × 855,972
  4. Step 4: Simplify right side
    399,645x = 732,688,064,784
  5. Step 5: Solve for x
    x = 732,688,064,784/399,645
  6. Step 6: Final answer
    x = 1,833,347.26

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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.