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Finding the Third Proportional to 431,034 and 916,608

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Solution

The third proportional to 431,034 and 916,608 is: 1,949,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,034 : 916,608 = 916,608 : x
  2. Step 2: Convert to fraction form
    431,034/916,608 = 916,608/x
  3. Step 3: Cross multiply
    431,034x = 916,608 × 916,608
  4. Step 4: Simplify right side
    431,034x = 840,170,225,664
  5. Step 5: Solve for x
    x = 840,170,225,664/431,034
  6. Step 6: Final answer
    x = 1,949,197.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.