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Finding the Third Proportional to 406,851 and 886,028

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Solution

The third proportional to 406,851 and 886,028 is: 1,929,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,851 : 886,028 = 886,028 : x
  2. Step 2: Convert to fraction form
    406,851/886,028 = 886,028/x
  3. Step 3: Cross multiply
    406,851x = 886,028 × 886,028
  4. Step 4: Simplify right side
    406,851x = 785,045,616,784
  5. Step 5: Solve for x
    x = 785,045,616,784/406,851
  6. Step 6: Final answer
    x = 1,929,565.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.