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Finding the Third Proportional to 2,086,688 and 4,573,408

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Solution

The third proportional to 2,086,688 and 4,573,408 is: 10,023,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,688 : 4,573,408 = 4,573,408 : x
  2. Step 2: Convert to fraction form
    2,086,688/4,573,408 = 4,573,408/x
  3. Step 3: Cross multiply
    2,086,688x = 4,573,408 × 4,573,408
  4. Step 4: Simplify right side
    2,086,688x = 20,916,060,734,464
  5. Step 5: Solve for x
    x = 20,916,060,734,464/2,086,688
  6. Step 6: Final answer
    x = 10,023,568.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.