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Finding the Third Proportional to 2,182,443 and 4,742,670

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Solution

The third proportional to 2,182,443 and 4,742,670 is: 10,306,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,443 : 4,742,670 = 4,742,670 : x
  2. Step 2: Convert to fraction form
    2,182,443/4,742,670 = 4,742,670/x
  3. Step 3: Cross multiply
    2,182,443x = 4,742,670 × 4,742,670
  4. Step 4: Simplify right side
    2,182,443x = 22,492,918,728,900
  5. Step 5: Solve for x
    x = 22,492,918,728,900/2,182,443
  6. Step 6: Final answer
    x = 10,306,302.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.