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Finding the Third Proportional to 472,640 and 1,019,488

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Solution

The third proportional to 472,640 and 1,019,488 is: 2,199,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,640 : 1,019,488 = 1,019,488 : x
  2. Step 2: Convert to fraction form
    472,640/1,019,488 = 1,019,488/x
  3. Step 3: Cross multiply
    472,640x = 1,019,488 × 1,019,488
  4. Step 4: Simplify right side
    472,640x = 1,039,355,782,144
  5. Step 5: Solve for x
    x = 1,039,355,782,144/472,640
  6. Step 6: Final answer
    x = 2,199,043.21

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