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Finding the Third Proportional to 415,064 and 907,012

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Solution

The third proportional to 415,064 and 907,012 is: 1,982,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,064 : 907,012 = 907,012 : x
  2. Step 2: Convert to fraction form
    415,064/907,012 = 907,012/x
  3. Step 3: Cross multiply
    415,064x = 907,012 × 907,012
  4. Step 4: Simplify right side
    415,064x = 822,670,768,144
  5. Step 5: Solve for x
    x = 822,670,768,144/415,064
  6. Step 6: Final answer
    x = 1,982,033.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.