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Finding the Third Proportional to 406,840 and 886,007

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Solution

The third proportional to 406,840 and 886,007 is: 1,929,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840 : 886,007 = 886,007 : x
  2. Step 2: Convert to fraction form
    406,840/886,007 = 886,007/x
  3. Step 3: Cross multiply
    406,840x = 886,007 × 886,007
  4. Step 4: Simplify right side
    406,840x = 785,008,404,049
  5. Step 5: Solve for x
    x = 785,008,404,049/406,840
  6. Step 6: Final answer
    x = 1,929,526.11

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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.