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Finding the Third Proportional to 472,034 and 1,019,188

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Solution

The third proportional to 472,034 and 1,019,188 is: 2,200,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,034 : 1,019,188 = 1,019,188 : x
  2. Step 2: Convert to fraction form
    472,034/1,019,188 = 1,019,188/x
  3. Step 3: Cross multiply
    472,034x = 1,019,188 × 1,019,188
  4. Step 4: Simplify right side
    472,034x = 1,038,744,179,344
  5. Step 5: Solve for x
    x = 1,038,744,179,344/472,034
  6. Step 6: Final answer
    x = 2,200,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.