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Finding the Third Proportional to 1,308,542.50 and 1,969,365.75

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Solution

The third proportional to 1,308,542.50 and 1,969,365.75 is: 2,963,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,542.50 : 1,969,365.75 = 1,969,365.75 : x
  2. Step 2: Convert to fraction form
    1,308,542.50/1,969,365.75 = 1,969,365.75/x
  3. Step 3: Cross multiply
    1,308,542.50x = 1,969,365.75 × 1,969,365.75
  4. Step 4: Simplify right side
    1,308,542.50x = 3,878,401,457,273.06
  5. Step 5: Solve for x
    x = 3,878,401,457,273.06/1,308,542.50
  6. Step 6: Final answer
    x = 2,963,909.43

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Why These Related Problems?

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