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Finding the Third Proportional to 1,649,152 and 3,580,306

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Solution

The third proportional to 1,649,152 and 3,580,306 is: 7,772,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,152 : 3,580,306 = 3,580,306 : x
  2. Step 2: Convert to fraction form
    1,649,152/3,580,306 = 3,580,306/x
  3. Step 3: Cross multiply
    1,649,152x = 3,580,306 × 3,580,306
  4. Step 4: Simplify right side
    1,649,152x = 12,818,591,053,636
  5. Step 5: Solve for x
    x = 12,818,591,053,636/1,649,152
  6. Step 6: Final answer
    x = 7,772,837.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.