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Finding the Third Proportional to 3,243,854.50 and 4,562,889

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Solution

The third proportional to 3,243,854.50 and 4,562,889 is: 6,418,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,854.50 : 4,562,889 = 4,562,889 : x
  2. Step 2: Convert to fraction form
    3,243,854.50/4,562,889 = 4,562,889/x
  3. Step 3: Cross multiply
    3,243,854.50x = 4,562,889 × 4,562,889
  4. Step 4: Simplify right side
    3,243,854.50x = 20,819,956,026,321
  5. Step 5: Solve for x
    x = 20,819,956,026,321/3,243,854.50
  6. Step 6: Final answer
    x = 6,418,276.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.