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Finding the Third Proportional to 1,919,448 and 4,200,480

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Solution

The third proportional to 1,919,448 and 4,200,480 is: 9,192,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,448 : 4,200,480 = 4,200,480 : x
  2. Step 2: Convert to fraction form
    1,919,448/4,200,480 = 4,200,480/x
  3. Step 3: Cross multiply
    1,919,448x = 4,200,480 × 4,200,480
  4. Step 4: Simplify right side
    1,919,448x = 17,644,032,230,400
  5. Step 5: Solve for x
    x = 17,644,032,230,400/1,919,448
  6. Step 6: Final answer
    x = 9,192,242.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.