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Finding the Third Proportional to 1,225,266.75 and 1,830,519

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Solution

The third proportional to 1,225,266.75 and 1,830,519 is: 2,734,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,266.75 : 1,830,519 = 1,830,519 : x
  2. Step 2: Convert to fraction form
    1,225,266.75/1,830,519 = 1,830,519/x
  3. Step 3: Cross multiply
    1,225,266.75x = 1,830,519 × 1,830,519
  4. Step 4: Simplify right side
    1,225,266.75x = 3,350,799,809,361
  5. Step 5: Solve for x
    x = 3,350,799,809,361/1,225,266.75
  6. Step 6: Final answer
    x = 2,734,751.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.