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Finding the Third Proportional to 1,781,254.50 and 3,737,469

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Solution

The third proportional to 1,781,254.50 and 3,737,469 is: 7,842,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,254.50 : 3,737,469 = 3,737,469 : x
  2. Step 2: Convert to fraction form
    1,781,254.50/3,737,469 = 3,737,469/x
  3. Step 3: Cross multiply
    1,781,254.50x = 3,737,469 × 3,737,469
  4. Step 4: Simplify right side
    1,781,254.50x = 13,968,674,525,961
  5. Step 5: Solve for x
    x = 13,968,674,525,961/1,781,254.50
  6. Step 6: Final answer
    x = 7,842,043.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.