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Finding the Third Proportional to 2,429,046 and 3,630,186

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Solution

The third proportional to 2,429,046 and 3,630,186 is: 5,425,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,046 : 3,630,186 = 3,630,186 : x
  2. Step 2: Convert to fraction form
    2,429,046/3,630,186 = 3,630,186/x
  3. Step 3: Cross multiply
    2,429,046x = 3,630,186 × 3,630,186
  4. Step 4: Simplify right side
    2,429,046x = 13,178,250,394,596
  5. Step 5: Solve for x
    x = 13,178,250,394,596/2,429,046
  6. Step 6: Final answer
    x = 5,425,278.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.