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Finding the Third Proportional to 404,922 and 865,892

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Solution

The third proportional to 404,922 and 865,892 is: 1,851,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,922 : 865,892 = 865,892 : x
  2. Step 2: Convert to fraction form
    404,922/865,892 = 865,892/x
  3. Step 3: Cross multiply
    404,922x = 865,892 × 865,892
  4. Step 4: Simplify right side
    404,922x = 749,768,955,664
  5. Step 5: Solve for x
    x = 749,768,955,664/404,922
  6. Step 6: Final answer
    x = 1,851,637.98

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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.