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Finding the Third Proportional to 449,064 and 972,871

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Solution

The third proportional to 449,064 and 972,871 is: 2,107,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,064 : 972,871 = 972,871 : x
  2. Step 2: Convert to fraction form
    449,064/972,871 = 972,871/x
  3. Step 3: Cross multiply
    449,064x = 972,871 × 972,871
  4. Step 4: Simplify right side
    449,064x = 946,477,982,641
  5. Step 5: Solve for x
    x = 946,477,982,641/449,064
  6. Step 6: Final answer
    x = 2,107,668.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.