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Finding the Third Proportional to 1,705,597 and 3,731,649

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Solution

The third proportional to 1,705,597 and 3,731,649 is: 8,164,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,597 : 3,731,649 = 3,731,649 : x
  2. Step 2: Convert to fraction form
    1,705,597/3,731,649 = 3,731,649/x
  3. Step 3: Cross multiply
    1,705,597x = 3,731,649 × 3,731,649
  4. Step 4: Simplify right side
    1,705,597x = 13,925,204,259,201
  5. Step 5: Solve for x
    x = 13,925,204,259,201/1,705,597
  6. Step 6: Final answer
    x = 8,164,416.48

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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.