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Finding the Third Proportional to 614,381 and 1,346,863

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Solution

The third proportional to 614,381 and 1,346,863 is: 2,952,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,381 : 1,346,863 = 1,346,863 : x
  2. Step 2: Convert to fraction form
    614,381/1,346,863 = 1,346,863/x
  3. Step 3: Cross multiply
    614,381x = 1,346,863 × 1,346,863
  4. Step 4: Simplify right side
    614,381x = 1,814,039,940,769
  5. Step 5: Solve for x
    x = 1,814,039,940,769/614,381
  6. Step 6: Final answer
    x = 2,952,630.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.