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Finding the Third Proportional to 1,290,950 and 2,729,650

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Solution

The third proportional to 1,290,950 and 2,729,650 is: 5,771,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,950 : 2,729,650 = 2,729,650 : x
  2. Step 2: Convert to fraction form
    1,290,950/2,729,650 = 2,729,650/x
  3. Step 3: Cross multiply
    1,290,950x = 2,729,650 × 2,729,650
  4. Step 4: Simplify right side
    1,290,950x = 7,450,989,122,500
  5. Step 5: Solve for x
    x = 7,450,989,122,500/1,290,950
  6. Step 6: Final answer
    x = 5,771,710.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.