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Finding the Third Proportional to 1,600,641 and 3,778,407

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Solution

The third proportional to 1,600,641 and 3,778,407 is: 8,919,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,641 : 3,778,407 = 3,778,407 : x
  2. Step 2: Convert to fraction form
    1,600,641/3,778,407 = 3,778,407/x
  3. Step 3: Cross multiply
    1,600,641x = 3,778,407 × 3,778,407
  4. Step 4: Simplify right side
    1,600,641x = 14,276,359,457,649
  5. Step 5: Solve for x
    x = 14,276,359,457,649/1,600,641
  6. Step 6: Final answer
    x = 8,919,151.43

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.