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Finding the Third Proportional to 949,998 and 1,420,254

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Solution

The third proportional to 949,998 and 1,420,254 is: 2,123,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,998 : 1,420,254 = 1,420,254 : x
  2. Step 2: Convert to fraction form
    949,998/1,420,254 = 1,420,254/x
  3. Step 3: Cross multiply
    949,998x = 1,420,254 × 1,420,254
  4. Step 4: Simplify right side
    949,998x = 2,017,121,424,516
  5. Step 5: Solve for x
    x = 2,017,121,424,516/949,998
  6. Step 6: Final answer
    x = 2,123,290.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.