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Finding the Third Proportional to 3,446,214 and 5,723,730

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Solution

The third proportional to 3,446,214 and 5,723,730 is: 9,506,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,214 : 5,723,730 = 5,723,730 : x
  2. Step 2: Convert to fraction form
    3,446,214/5,723,730 = 5,723,730/x
  3. Step 3: Cross multiply
    3,446,214x = 5,723,730 × 5,723,730
  4. Step 4: Simplify right side
    3,446,214x = 32,761,085,112,900
  5. Step 5: Solve for x
    x = 32,761,085,112,900/3,446,214
  6. Step 6: Final answer
    x = 9,506,398.94

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.