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Finding the Third Proportional to 2,385,984 and 3,613,728

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Solution

The third proportional to 2,385,984 and 3,613,728 is: 5,473,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385,984 : 3,613,728 = 3,613,728 : x
  2. Step 2: Convert to fraction form
    2,385,984/3,613,728 = 3,613,728/x
  3. Step 3: Cross multiply
    2,385,984x = 3,613,728 × 3,613,728
  4. Step 4: Simplify right side
    2,385,984x = 13,059,030,057,984
  5. Step 5: Solve for x
    x = 13,059,030,057,984/2,385,984
  6. Step 6: Final answer
    x = 5,473,226.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.