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Finding the Third Proportional to 472,628 and 1,019,464

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Solution

The third proportional to 472,628 and 1,019,464 is: 2,198,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,628 : 1,019,464 = 1,019,464 : x
  2. Step 2: Convert to fraction form
    472,628/1,019,464 = 1,019,464/x
  3. Step 3: Cross multiply
    472,628x = 1,019,464 × 1,019,464
  4. Step 4: Simplify right side
    472,628x = 1,039,306,847,296
  5. Step 5: Solve for x
    x = 1,039,306,847,296/472,628
  6. Step 6: Final answer
    x = 2,198,995.50

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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.