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Finding the Third Proportional to 2,983,462 and 6,442,321

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Solution

The third proportional to 2,983,462 and 6,442,321 is: 13,911,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,462 : 6,442,321 = 6,442,321 : x
  2. Step 2: Convert to fraction form
    2,983,462/6,442,321 = 6,442,321/x
  3. Step 3: Cross multiply
    2,983,462x = 6,442,321 × 6,442,321
  4. Step 4: Simplify right side
    2,983,462x = 41,503,499,867,041
  5. Step 5: Solve for x
    x = 41,503,499,867,041/2,983,462
  6. Step 6: Final answer
    x = 13,911,187.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.