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Finding the Third Proportional to 1,243,218 and 1,919,745

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Solution

The third proportional to 1,243,218 and 1,919,745 is: 2,964,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,218 : 1,919,745 = 1,919,745 : x
  2. Step 2: Convert to fraction form
    1,243,218/1,919,745 = 1,919,745/x
  3. Step 3: Cross multiply
    1,243,218x = 1,919,745 × 1,919,745
  4. Step 4: Simplify right side
    1,243,218x = 3,685,420,865,025
  5. Step 5: Solve for x
    x = 3,685,420,865,025/1,243,218
  6. Step 6: Final answer
    x = 2,964,420.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.