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Finding the Third Proportional to 614,799 and 1,260,216

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Solution

The third proportional to 614,799 and 1,260,216 is: 2,583,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,799 : 1,260,216 = 1,260,216 : x
  2. Step 2: Convert to fraction form
    614,799/1,260,216 = 1,260,216/x
  3. Step 3: Cross multiply
    614,799x = 1,260,216 × 1,260,216
  4. Step 4: Simplify right side
    614,799x = 1,588,144,366,656
  5. Step 5: Solve for x
    x = 1,588,144,366,656/614,799
  6. Step 6: Final answer
    x = 2,583,192.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.