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Finding the Third Proportional to 472,172 and 1,019,731

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Solution

The third proportional to 472,172 and 1,019,731 is: 2,202,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,172 : 1,019,731 = 1,019,731 : x
  2. Step 2: Convert to fraction form
    472,172/1,019,731 = 1,019,731/x
  3. Step 3: Cross multiply
    472,172x = 1,019,731 × 1,019,731
  4. Step 4: Simplify right side
    472,172x = 1,039,851,312,361
  5. Step 5: Solve for x
    x = 1,039,851,312,361/472,172
  6. Step 6: Final answer
    x = 2,202,272.29

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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.