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Finding the Third Proportional to 415,066 and 907,016

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Solution

The third proportional to 415,066 and 907,016 is: 1,982,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,066 : 907,016 = 907,016 : x
  2. Step 2: Convert to fraction form
    415,066/907,016 = 907,016/x
  3. Step 3: Cross multiply
    415,066x = 907,016 × 907,016
  4. Step 4: Simplify right side
    415,066x = 822,678,024,256
  5. Step 5: Solve for x
    x = 822,678,024,256/415,066
  6. Step 6: Final answer
    x = 1,982,041.47

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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.