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Finding the Third Proportional to 1,649,150 and 3,580,302

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Solution

The third proportional to 1,649,150 and 3,580,302 is: 7,772,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,150 : 3,580,302 = 3,580,302 : x
  2. Step 2: Convert to fraction form
    1,649,150/3,580,302 = 3,580,302/x
  3. Step 3: Cross multiply
    1,649,150x = 3,580,302 × 3,580,302
  4. Step 4: Simplify right side
    1,649,150x = 12,818,562,411,204
  5. Step 5: Solve for x
    x = 12,818,562,411,204/1,649,150
  6. Step 6: Final answer
    x = 7,772,829.89

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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.