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Finding the Third Proportional to 2,129,857 and 4,584,484

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Solution

The third proportional to 2,129,857 and 4,584,484 is: 9,868,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,857 : 4,584,484 = 4,584,484 : x
  2. Step 2: Convert to fraction form
    2,129,857/4,584,484 = 4,584,484/x
  3. Step 3: Cross multiply
    2,129,857x = 4,584,484 × 4,584,484
  4. Step 4: Simplify right side
    2,129,857x = 21,017,493,546,256
  5. Step 5: Solve for x
    x = 21,017,493,546,256/2,129,857
  6. Step 6: Final answer
    x = 9,868,030.36

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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.