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Finding the Third Proportional to 2,411,775 and 3,839,062.50

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Solution

The third proportional to 2,411,775 and 3,839,062.50 is: 6,111,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,775 : 3,839,062.50 = 3,839,062.50 : x
  2. Step 2: Convert to fraction form
    2,411,775/3,839,062.50 = 3,839,062.50/x
  3. Step 3: Cross multiply
    2,411,775x = 3,839,062.50 × 3,839,062.50
  4. Step 4: Simplify right side
    2,411,775x = 14,738,400,878,906.25
  5. Step 5: Solve for x
    x = 14,738,400,878,906.25/2,411,775
  6. Step 6: Final answer
    x = 6,111,018.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.