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Finding the Third Proportional to 406,849 and 886,024

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Solution

The third proportional to 406,849 and 886,024 is: 1,929,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,849 : 886,024 = 886,024 : x
  2. Step 2: Convert to fraction form
    406,849/886,024 = 886,024/x
  3. Step 3: Cross multiply
    406,849x = 886,024 × 886,024
  4. Step 4: Simplify right side
    406,849x = 785,038,528,576
  5. Step 5: Solve for x
    x = 785,038,528,576/406,849
  6. Step 6: Final answer
    x = 1,929,557.47

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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.