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Finding the Third Proportional to 1,278,402 and 2,840,580

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Solution

The third proportional to 1,278,402 and 2,840,580 is: 6,311,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,402 : 2,840,580 = 2,840,580 : x
  2. Step 2: Convert to fraction form
    1,278,402/2,840,580 = 2,840,580/x
  3. Step 3: Cross multiply
    1,278,402x = 2,840,580 × 2,840,580
  4. Step 4: Simplify right side
    1,278,402x = 8,068,894,736,400
  5. Step 5: Solve for x
    x = 8,068,894,736,400/1,278,402
  6. Step 6: Final answer
    x = 6,311,703.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.