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Finding the Third Proportional to 1,410,210 and 2,148,353

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Solution

The third proportional to 1,410,210 and 2,148,353 is: 3,272,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,210 : 2,148,353 = 2,148,353 : x
  2. Step 2: Convert to fraction form
    1,410,210/2,148,353 = 2,148,353/x
  3. Step 3: Cross multiply
    1,410,210x = 2,148,353 × 2,148,353
  4. Step 4: Simplify right side
    1,410,210x = 4,615,420,612,609
  5. Step 5: Solve for x
    x = 4,615,420,612,609/1,410,210
  6. Step 6: Final answer
    x = 3,272,860.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.