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Finding the Third Proportional to 2,242,000 and 3,414,840

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Solution

The third proportional to 2,242,000 and 3,414,840 is: 5,201,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,000 : 3,414,840 = 3,414,840 : x
  2. Step 2: Convert to fraction form
    2,242,000/3,414,840 = 3,414,840/x
  3. Step 3: Cross multiply
    2,242,000x = 3,414,840 × 3,414,840
  4. Step 4: Simplify right side
    2,242,000x = 11,661,132,225,600
  5. Step 5: Solve for x
    x = 11,661,132,225,600/2,242,000
  6. Step 6: Final answer
    x = 5,201,218.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.