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Finding the Third Proportional to 1,238,973 and 1,744,771.50

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Solution

The third proportional to 1,238,973 and 1,744,771.50 is: 2,457,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,973 : 1,744,771.50 = 1,744,771.50 : x
  2. Step 2: Convert to fraction form
    1,238,973/1,744,771.50 = 1,744,771.50/x
  3. Step 3: Cross multiply
    1,238,973x = 1,744,771.50 × 1,744,771.50
  4. Step 4: Simplify right side
    1,238,973x = 3,044,227,587,212.25
  5. Step 5: Solve for x
    x = 3,044,227,587,212.25/1,238,973
  6. Step 6: Final answer
    x = 2,457,057.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.