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Finding the Third Proportional to 3,749,123.25 and 5,676,264

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Solution

The third proportional to 3,749,123.25 and 5,676,264 is: 8,594,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749,123.25 : 5,676,264 = 5,676,264 : x
  2. Step 2: Convert to fraction form
    3,749,123.25/5,676,264 = 5,676,264/x
  3. Step 3: Cross multiply
    3,749,123.25x = 5,676,264 × 5,676,264
  4. Step 4: Simplify right side
    3,749,123.25x = 32,219,972,997,696
  5. Step 5: Solve for x
    x = 32,219,972,997,696/3,749,123.25
  6. Step 6: Final answer
    x = 8,594,002.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.