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Finding the Third Proportional to 2,182,290 and 4,713,042

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Solution

The third proportional to 2,182,290 and 4,713,042 is: 10,178,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,290 : 4,713,042 = 4,713,042 : x
  2. Step 2: Convert to fraction form
    2,182,290/4,713,042 = 4,713,042/x
  3. Step 3: Cross multiply
    2,182,290x = 4,713,042 × 4,713,042
  4. Step 4: Simplify right side
    2,182,290x = 22,212,764,893,764
  5. Step 5: Solve for x
    x = 22,212,764,893,764/2,182,290
  6. Step 6: Final answer
    x = 10,178,649.44

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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.