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Finding the Third Proportional to 1,410,205 and 2,148,347

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Solution

The third proportional to 1,410,205 and 2,148,347 is: 3,272,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,205 : 2,148,347 = 2,148,347 : x
  2. Step 2: Convert to fraction form
    1,410,205/2,148,347 = 2,148,347/x
  3. Step 3: Cross multiply
    1,410,205x = 2,148,347 × 2,148,347
  4. Step 4: Simplify right side
    1,410,205x = 4,615,394,832,409
  5. Step 5: Solve for x
    x = 4,615,394,832,409/1,410,205
  6. Step 6: Final answer
    x = 3,272,853.83

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Why These Related Problems?

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