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Finding the Third Proportional to 465,128 and 1,001,248

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Solution

The third proportional to 465,128 and 1,001,248 is: 2,155,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,128 : 1,001,248 = 1,001,248 : x
  2. Step 2: Convert to fraction form
    465,128/1,001,248 = 1,001,248/x
  3. Step 3: Cross multiply
    465,128x = 1,001,248 × 1,001,248
  4. Step 4: Simplify right side
    465,128x = 1,002,497,557,504
  5. Step 5: Solve for x
    x = 1,002,497,557,504/465,128
  6. Step 6: Final answer
    x = 2,155,315.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.