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Finding the Third Proportional to 614,526 and 1,278,102

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Solution

The third proportional to 614,526 and 1,278,102 is: 2,658,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,526 : 1,278,102 = 1,278,102 : x
  2. Step 2: Convert to fraction form
    614,526/1,278,102 = 1,278,102/x
  3. Step 3: Cross multiply
    614,526x = 1,278,102 × 1,278,102
  4. Step 4: Simplify right side
    614,526x = 1,633,544,722,404
  5. Step 5: Solve for x
    x = 1,633,544,722,404/614,526
  6. Step 6: Final answer
    x = 2,658,219.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.