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Finding the Third Proportional to 415,604 and 908,968

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Solution

The third proportional to 415,604 and 908,968 is: 1,988,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,604 : 908,968 = 908,968 : x
  2. Step 2: Convert to fraction form
    415,604/908,968 = 908,968/x
  3. Step 3: Cross multiply
    415,604x = 908,968 × 908,968
  4. Step 4: Simplify right side
    415,604x = 826,222,825,024
  5. Step 5: Solve for x
    x = 826,222,825,024/415,604
  6. Step 6: Final answer
    x = 1,988,004.99

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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.