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Finding the Third Proportional to 945,769.50 and 2,075,283

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Solution

The third proportional to 945,769.50 and 2,075,283 is: 4,553,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,769.50 : 2,075,283 = 2,075,283 : x
  2. Step 2: Convert to fraction form
    945,769.50/2,075,283 = 2,075,283/x
  3. Step 3: Cross multiply
    945,769.50x = 2,075,283 × 2,075,283
  4. Step 4: Simplify right side
    945,769.50x = 4,306,799,530,089
  5. Step 5: Solve for x
    x = 4,306,799,530,089/945,769.50
  6. Step 6: Final answer
    x = 4,553,751.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.